shawn has a bag containing seven balls: one green, one orange, one blue, one yellow, one purple, one white, and one red. All balls are equally are equally likely to be chosen. Shawn will choose one ball without looking in the bag. What is the possibility that Shawn will choose the purple ball out of the bag?

Answers

Answer 1

hi

Seven Balls , one of each color.  Then 1/7 possibility to choose purple


Related Questions

Please help me and Katie don’t delete it

Answers

Answer:

A.

I say this is the answer because if she has gotten into a habait of buying and breaking glasses,shes just very careless

Answer:

hope she won

t

Step-by-step explanation:

A consumer research group is interested in testing an automobile manufacturer's claim that a new economy model will travel at least 27 miles per gallon of gasoline (H 0: 27). With a .02 level of significance and a sample of 40 cars, what is the rejection rule based on the value of for the test to determine whether the manufacturer's claim should be rejected (to 2 decimals)? Assume that is 6 miles per gallon.

Answers

Answer:

The alternative hypothesis H0, should be rejected, if sample mean, X' < 25.051

Step-by-step explanation:

Given:

Sample size, n = 40

Mean, μ = 27

Significance level = 0.02

Standard deviation = 6

For null hypothesis :

H0 : μ ≥ 27

For alternative hypothesis :

H1 : μ < 27

At significance level, α = 0.02, from Z table, Zα = 2.054

This is a left tailed test

Solving for X' we have:

[tex] X' = u - Za \frac{\sigma}{\sqrt{n}}[/tex]

[tex] X' = 27 - 2.054 \frac{6}{\sqrt{40}}= 25.051[/tex]

The alternative hypothesis H0, should be rejected, if sample mean, X' < 25.051

The rejection rule is based on the value of for the test to determine whether the manufacturer's claim should be rejected is [tex]\mu<27[/tex].

Given :

The sample size is 40..02 level of significance.The mean is 27.The standard deviation is 6.

The following steps can be used in order to determine the rejection rule based on the value of the test:

Step 1 - The Hypothesis test can be used in order to determine the rejection rule based on the value of the test.

The null hypothesis is given below:

[tex]H_0 : \mu\geq 27[/tex]

The alternate hypothesis is given below:

[tex]H_a : \mu<27[/tex]

Step 2 - Now, the formula of X' is given below:

[tex]X' = \mu-Z_\alpha \dfrac{\sigma}{\sqrt{n} }[/tex]

Step 3 - Now, substitute the values of the known terms in the above formula.

[tex]X' = 27-2.054 \dfrac{6}{\sqrt{40} }[/tex]

Step 4 - SImplify the above expression.

[tex]X' = 25.051[/tex]

From the above steps, it can be concluded that the null hypothesis is rejected.

For more information, refer to the link given below:

https://brainly.com/question/10758924

PLEASE HELP!! Find the sixth term of the sequence 14,9,4,..

Answers

Answer:

39

Step-by-step explanation:

We notice this is an arithmetic sequence.

14, 9,  4.

common difference = d = 14 - 9 = 5

first term a_1 = 14

Find 6th term a_6

a_n = (n -1)*d + a_1

a_6 = (6 -1)*5 + 14

a_6 = 5*5 + 14 = 25 + 14 = 39

a scatter plot has a negative, linear correlation. which statement is true about the relationship between the x-and y-values

Answers

As the x-values increase, the y-values tend to decrease because with negative linear correlations, they go downhill from left to right so as you go up on the x-axis, your y-values will tend to decrease in value. 

Answer: as the x values increase the y values decrease

Step-by-step explanation:

Took the teat

what is the difference between distrust and distake .

Answers

Answer:

The difference between mistrust and distrust comes down to nuances in meaning. Distrust is a withholding of trust based on evidence or informed opinion. Many people distrust salespeople working on commission, for instance, knowing that these salespeople personally benefit from their purchases.

Step-by-step explanation:

T(t)T, models the daily high temperature (in Celsius) in Santiago, Chile, t days after the hottest day of the year. Here, t is entered in radians.

T(t)=7.5cos(2π/365t)+21.5


What is the second time after the hottest day of the year that the daily high temperature is 20 degrees celsius?


Round your final answer to the nearest whole day.

Answers

Answer:

the answer is 262 days

Step-by-step explanation:

Final answer:

To find the second time after the hottest day of the year that the daily high temperature is 20 degrees Celsius, you need to solve the equation T(t) = 20. This involves finding the inverse cosine of a specific value, setting up an equation, and adding one year to the solution. After performing these steps, you can find the value of t that corresponds to the second time.

Explanation:

To find the second time after the hottest day of the year that the daily high temperature is 20 degrees Celsius, we need to solve the equation T(t) = 20. We can rewrite this equation as 7.5cos(2π/365t) + 21.5 = 20. Subtracting 21.5 from both sides gives us 7.5cos(2π/365t) = -1.5. Dividing both sides by 7.5 and simplifying further, we have cos(2π/365t) = -0.2. To find the second time, we need to find the value of t that satisfies this equation.

To find the value of t, we need to use the inverse cosine function (also known as arccosine). The inverse cosine function (cos^(-1)) gives us the angle whose cosine is a specific value. In this case, we want to find t such that cos(2π/365t) = -0.2. We can use a calculator or math software to find the inverse cosine of -0.2. Let's assume the inverse cosine of -0.2 is x.

Now we can set up an equation: 2π/365t = x. Solving for t, we get t = (365x)/(2π). However, we need to find the second time after the hottest day, so we need to find the value of t that satisfies the equation after adding one year (365 days) to the original value. Therefore, the second time after the hottest day of the year that the daily high temperature is 20 degrees Celsius is t = (365x)/(2π) + 365.

Giving brainliest for CORRECT awnser.

Answers

Answer:

It's D.

Step-by-step explanation:

Answer:

3(x - 2)(x - 5)

Step-by-step explanation:

Factor 3 from all terms within the trinomial:

(3x² - 21x + 30)/3 = x² - 7x + 10

3(x² - 7x + 10)

Simplify.

(x² - 7x + 10)

x               -5

x               -2

3(x - 2)(x - 5)* is your answer.

* remember to bring the 3 that you factored out in the beginning and stick it to the front.

~

The National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively. Construct a 95% confidence interval for the mean time required to earn a bachelor’s degree by all college students. *

Answers

Answer:

95​% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

Step-by-step explanation:

We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                              P.Q. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean time = 5.15 years

            [tex]\sigma[/tex] = sample standard deviation = 1.68 years

            n = sample of college graduates = 4400

            [tex]\mu[/tex] = population mean time

Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                               level of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]

                                              = [ [tex]5.15-1.96 \times {\frac{1.68}{\sqrt{4400} } }[/tex] , [tex]5.15+1.96 \times {\frac{1.68}{\sqrt{4400} } }[/tex] ]

                                             = [5.10 , 5.20]

Therefore, 95​% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

Need help on this question.

Answers

the answer is angles :)


Expand to write an equivalent expression: -1/2(-2x + 4y)
Need help ASAP!​

Answers

Answer:x-2y

Step-by-step explanation:

-1/2(-2x+4y)

Open the brackets

2x/2 - 4y/2

x - 2y

If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 82

Answers

Answer:

y = 41/6

Step-by-step explanation:

This means that  y = kx.    k is a constant.

6 = k*72

and.

y = k*82 ...

k = 6/72 = 1/12

y = 82/12

y = 41/6

The range of Fx) = 7*4^x is all positive real numbers.
A. True
B. False

Answers

Answer:

The answer is A. True

Step-by-step explanation:

The range of Fx) = 7*4^x is all positive real numbers.

hope this helps : )

A red die and a blue die are thrown. Both dice are loaded (that is, not all sides are equally likely). Rolling a 1 with the red die is twice as likely as rolling each of the other five numbers and rolling a 3 with the blue die is twice as likely as rolling each of the other five numbers. a. (2.5 pt.) What is the probability of each outcome of the red die

Answers

Answer:

P(1) = 0.2857

P(2) = 0.1428

P(3) = 0.1428

P(4) = 0.1428

P(5) = 0.1428

P(6) = 0.1428

Step-by-step explanation:

From the question, we know that Rolling a 1 with the red die is twice as likely as rolling each of the other five numbers, so we can write the following equation:

P(1) = 2X        

Where X is the probability of rolling each of the other five numbers or:

P(2) = P(3) = P(4) = P(5) = P(6) = X  

Additionally, the sum of all the probabilities is 1, so:

P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1

Now, we can replace P(1) by 2X and P(2), P(3), P(4), P(5) and P(6) by X, as:

P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1

2X  +   X   +    X   +   X  +   X   +   X  = 1

Finally, solving for X, we get:

7X = 1

X = 1/7

X = 0.1428

So, the probability of rolling a 1 is equal to:

P(1) = 2X  = 2*(0.1428) = 0.2857

And the probability of rolling each of the other five numbers is:

P(2) = P(3) = P(4) = P(5) = P(6) = X  

P(2) = P(3) = P(4) = P(5) = P(6) = 0.1428

Underwood Grocery Store had seven bunches of bananas, and each bunch had six bananas. A customer buys four bananas. Complete and solve the number sentence below to find how many bananas the grocery store has left.

Answers

Answer:

38 bananas

Step-by-step explanation:

6(7)=42 bananas 42-4=38 bananas

Of the students that took a survey about after school activities,33 1/3 % said they watch television, 1/2 said they go to sports practice and the remaining said they do homework. What fraction represents the students that go homework.

Answers

Answer:

The fraction that represents the proportion of students that go make their homework is 1/6

Step-by-step explanation:

The sum of the percentage of students is 100% = 1.

In this problem, we have that:

1/3 said they watch television

1/2 said they go to sports practice

x said they do homework.

This is a sum of fractions, and the lesser common multiple of 3 and 2 is 6.

So

[tex]\frac{1}{3} + \frac{1}{2} + x = 1[/tex]

[tex]\frac{2 + 3 + 6x}{6} = 1[/tex]

[tex]5 + 6x = 6[/tex]

[tex]6x = 1[/tex]

[tex]x = \frac{1}{6}[/tex]

The fraction that represents the proportion of students that go make their homework is 1/6

Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-third, 7 and one-third). What is the distance from Layana’s home to the store?


4 units

8 and two-thirds units

10 units

14 and two-thirds units

Answers

We have been given that Layana’s house is located at [tex](2\frac{2}{3}, 7\frac{1}{3})[/tex] on a map. The store where she works is located at [tex](-1\frac{1}{3}, 7\frac{1}{3})[/tex].

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

[tex]2\frac{2}{3}\Rightarrow \frac{8}{3}[/tex]

[tex]7\frac{1}{3}\Rightarrow \frac{22}{3}[/tex]

[tex]-1\frac{1}{3}\Rightarrow -\frac{4}{3}[/tex]

Now we will use distance formula to solve our given problem.

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Upon substituting coordinates of our given point in above formula, we will get:

[tex]D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}[/tex]

[tex]D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}[/tex]

[tex]D=\sqrt{0+(\frac{8+4}{3})^2}[/tex]

[tex]D=\sqrt{(\frac{12}{3})^2}[/tex]

[tex]D=\sqrt{(4)^2}[/tex]

[tex]D=4[/tex]

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

Answer:

its A ^3^

Step-by-step explanation:

A test engineer wants to estimate the mean gas mileage (in miles per gallon) for a particular model of automobile. Eleven of these cars are subjected to a road test, and the gas mileage is computed for each car. A dot plot of the 11 gas-mileage values is roughly symmetrical and has no outliers. The mean and standard deviation of these values are 25.5 and 3.01, respectively. Assuming that these 11 automobiles can be considered a simple random sample of cars of this model, which of the following is a correct statement?
a. A 95% confidence interval for μ is 25.5 ±2.2284 3.01
b. A 95% confidence interval for μ is 25.5±2.201 3.01
c. A 95% confidence interval for μ is 25.5±2.228 10 3.01
d. A 95% confidence interval for μ is 25.5±2.201 10
e.The results cannot be trusted; the sample is too small.

Answers

Answer:

a) A 95% confidence interval for μ is 25.5 ±2.2284 3.01

The 95% of confidence intervals for mean μ is determined by

(23.478 , 27.522)

Step-by-step explanation:

Step( i ) :-

Given sample size 'n' =11

The mean of the sample x⁻ = 25.5

The standard deviation of the sample 'S' = 3.01

95% of confidence intervals:

The 95% of confidence intervals for mean μ is determined by

[tex]( x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

Step(ii):-

The critical value ∝ =0.05

[tex]t_{\frac{\alpha }{2} } = 2.228[/tex]

The degrees of freedom ν=n-1 = 11-1 =10

[tex]( 25.5 - 2.228 \frac{3.01}{\sqrt{11} } , 25.5 + 2.228 \frac{3.01}{\sqrt{11} } )[/tex]

(25.5-2.0220, 25.5 + 2.0220)

(23.478 , 27.522)

Final answer:-

The 95% of confidence intervals for mean μ is determined by

(23.478 , 27.522)

Final answer:

The correct statement is: a. A 95% confidence interval for μ is 25.5 ±2.2284 3.01. To calculate the confidence interval for the population mean, we use the formula: sample mean ± (critical value) × (standard deviation / square root of sample size).

Explanation:

The correct statement is:

a. A 95% confidence interval for μ is 25.5 ±2.2284 3.01

To calculate the confidence interval for the population mean, we use the formula: sample mean ± (critical value) × (standard deviation / square root of sample size).

In this case, with a sample mean of 25.5, standard deviation of 3.01, and a sample size of 11, the critical value for a 95% confidence level is 2.2284. Therefore, the correct confidence interval is 25.5 ± 2.2284 × 3.01.


Use the interactive to graph the line with a y-intercept of –2 and slope of –1/3.

What is the x-intercept of the line?

Answers

Answer:

The x-intercept is -6.

Step-by-step explanation:

You could use a graphing calculator, which would make it so much easier to find, but under the circumstances you aren't allowed to do so, you should:

1) Start from the y-intercept. In your case, it is -2. Since the y-intercept is negative, you want to apply the slope in a certain way.

The line will remain the same if your slope is -1/3 or if it is 1/-3. In your case, since your y-intercept is -2, you want to apply the slope 1/-3.

2) Move the point (0,-2) up 1, then left 3. This will get you the point (-3,-1). Your final answer should be in the format (x,0).

3) Now, move the point (-3,-1) up 1, then left 3. This will result in your point being (-6,0). Notice how the y-value is 0, so this is your final answer.

Keep in mind that this technique will not always be so easy to use. This particular problem is fine, though.

I need help with #12 please!

Answers

Answer:

125/512 in³125 smaller cubes

Step-by-step explanation:

The volume of a cube is the cube of the edge dimension. Here, that dimension is 5/8 in, so the volume is ...

  V = s³ = (5/8 in)³ = 125/512 in³ . . . volume of the cube

The volume of a cube 1/8 inch on a side is ...

  V = (1/8 in)³ = 1/512 in³

Clearly, a volume that is 125/512 in³ will require 125 of the cubes of size 1/512 in³ to fill it.

  125 of the smaller cubes will fit inside.

_____

Alternate solution

You can also determine the number of smaller cubes by considering it takes 5 of them in each direction to make 5/8 inch. Then the volume is 5³ = 125 of the smaller cubes.

2.
2x2 + 2x - 112 factor​

Answers

Answer:

Use order of operation

Step-by-step explanation:

Answer:

2(x+8)(x-7)

Step-by-step explanation:

If the question is asking 2x^2+2x-112, then the answer is 2(x+8)(x-7).

First, you factor out the two: 2(x^2+x-56)

Next, you find something that adds to x and multiplies to -56: 8 and -7

After, you get 2(x+8)(x-7)

Calculate the perimeter of this shape.
12 cm
18 cm

Answers

Answer:

[tex] 12 +18 + x+y + z +w[/tex]

In this special case we know that [tex] x+y =12[/tex] and [tex] z+w =18[/tex]  and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter  

Step-by-step explanation:

For this case we know that the perimeter is given by:

[tex] 12 +18 + x+y + z +w[/tex]

In this special case we know that [tex] x+y =12[/tex] and [tex] z+w =18[/tex]  and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter  

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict the outcome in advance. He gets 17 out of 20 correct. What is the probability that he would have done at least this well if he had no ESP? Hint: If he has no ESP, then he's just randomly guessing, right? If he is randomly guessing, what should you use as p, the chance of success for each individual trial? Probability of doing at least this well =

Answers

Answer:

[tex]P(x\geq 17)=0.00128[/tex]

Step-by-step explanation:

The probability that the man gets x out of 20 correct follows a Binomial distribution, so the probability is calculated as:

[tex]P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}[/tex]

Where n is the number of identical experiments and p is the probability of success. In this case n is 20.

Additionally, if he has no ESP the probability that he predict correctly is 0.5, because he is only guessing.

Then, the probability that he gets x out of 20 correct is equal to:

[tex]P(x)=\frac{20!}{x!(20-x)!}*0.5^{x}*(1-0.5)^{20-x}[/tex]

Therefore the probability that he would have done at least 17 out of 20 well if he had no ESP is:

[tex]P(x\geq 17)=P(17)+P(18)+P(19)+P(20)\\[/tex]

Where:

[tex]P(17)=\frac{20!}{17!(20-17)!}*0.5^{17}*(1-0.5)^{20-17}=0.00108719\\P(18)=\frac{20!}{18!(20-18)!}*0.5^{18}*(1-0.5)^{20-18}=0.00018119\\P(19)=\frac{20!}{19!(20-19)!}*0.5^{19}*(1-0.5)^{20-19}=0.00001907\\P(20)=\frac{20!}{20!(20-20)!}*0.5^{20}*(1-0.5)^{20-20}=0.00000095[/tex]

So, [tex]P(x\geq 17)[/tex] is equal to:

[tex]P(x\geq 17)=0.00108719+0.00018119+0.00001907+0.00000095\\P(x\geq 17)=0.00128[/tex]

The probability that he would have done at least 17 out of 20 if he had no ESP is 0.00128 and this can be determined by using the binomial distribution formula.

Given :

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict the outcome in advance. He gets 17 out of 20 correct.

The formula of the binomial distribution is given by:

[tex]\rm P(x)=\dfrac{n!}{x!(n-x)!}\times p^x \times (1-p)^{n-x}[/tex]

Now, put all the known terms in the above formula.

[tex]\rm P(x)=\dfrac{20!}{x!(20-x)!}\times 0.5^x \times (1-05)^{20-x}[/tex]

Now, the probability that he would have done at least 17 out of 20 if he had no ESP:

[tex]\rm P(x\geq 17) = P(17)+P(18)+P(19)+P(20)[/tex]

where:

[tex]\rm P(17)=\dfrac{20!}{(20-17!)}\times 0.5^{17}\times 0.5^{20-17}=0.00108719[/tex]

[tex]\rm P(18)=\dfrac{20!}{(20-18!)}\times 0.5^{18}\times 0.5^{20-18}=0.00018119[/tex]

[tex]\rm P(19)=\dfrac{20!}{(20-19!)}\times 0.5^{19}\times 0.5^{20-19}=0.00001907[/tex]

[tex]\rm P(20)=\dfrac{20!}{(20-20!)}\times 0.5^{20}\times 0.5^{20-20}=0.00000095[/tex]

So, the value of P(x [tex]\geq[/tex] 17) is:

[tex]\rm P(x\geq 17)= 0.00108719+0.00018119+0.00001907+0.00000095[/tex]

[tex]\rm P(x\geq 17)= 0.00128[/tex]

For more information, refer to the link given below:

https://brainly.com/question/2561151

Gwen, a friend of Mary from the previous question, is also practicing free throws. However, she is trying to score 3 points in a single set. She will keep shooting sets until she has three successful shots in a single set. Gwen is more confident in her abilities, and believes that she can successfully make any single shot with a probability of 0.8.

Give your answer as a decimal to 4 decimal places.

a) Given the information above, how many sets does Gwen expect to make?

b)b) Given the information above, what is the variance for the number of sets Gwen will make?

c) Given the information above, how many shots does Gwen expect to make?

Answers

Answer:

a. Gwen expect to make 3.75 sets

b. The variance for the number of sets Gwen will make is 0.9375

c. Gwen expect to make 2 shots

Step-by-step explanation:

a. According to the given data we have the following:

Here this follows negative binomial distribution with parameter r =3 and p=0.8

To calculate how many sets does Gwen expect to make we have to calculate the following formula:

expected number of sets =r/p

expected number of sets =3/0.8=3.75

Gwen expect to make 3.75 sets.

b. In order to calculate the variance for the number of sets Gwen will make we have to use the following formula:

variance for the number of sets=σ∧2=r(1-p)/p∧2

variance for the number of sets=3*(1-0.8)/0.8^2

variance for the number of sets=0.9375

The variance for the number of sets Gwen will make is 0.9375

c. To calculate how many shots does Gwen expect to make, we have to calculate first the probability she shoots all the three in the set as follows:

probability she shoots all the three in the set=0.8∧3=0.512

if E(X)=1/p, therefore, 1/p=1/0.512=1.95

Gwen expect to make 2 shots

Blake simplified the expression (StartFraction x Superscript 12 Baseline Over x Superscript negative 3 Baseline EndFraction) Superscript 5 to StartFraction 1 Over x Superscript 20 Baseline EndFraction. What was Blake’s mistake?

Answers

Answer:

D.

Step-by-step explanation:

Answer:

D.He divided the exponents in the parentheses instead of subtracting.

Step-by-step explanation:

Edge 2022

One True Love? A survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person." has been conducted. The result is that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know." (a) Find a 99% confidence interval for the proportion of people who disagree with the statement. Round your answers to three decimal places. The 99% confidence interval is

Answers

Answer:

99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

Step-by-step explanation:

We are given that a survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person." has been conducted. The result is that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know."

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

                                 P.Q. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of people who disagree with the statement = [tex]\frac{1812}{2625}[/tex] = 0.69

           n = sample of respondents = 2625

           p = population proportion of people who disagree with statement

Here for constructing 99% confidence interval we have used One-sample z proportion statistics.

So, 99% confidence interval for the population proportion, p is ;

P(-2.58 < N(0,1) < 2.58) = 0.99  {As the critical value of z at 0.5% level

                                                   of significance are -2.58 & 2.58}  

P(-2.58 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 2.58) = 0.99

P( [tex]-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.99

P( [tex]\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.99

99% confidence interval for p = [ [tex]\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ]

= [ [tex]0.69-2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }[/tex] , [tex]0.69+2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }[/tex] ]

 = [0.667 , 0.713]

Therefore, 99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

You are thinking of employing a t procedure to test hypotheses about the mean of a population using a significance level of 0.05. You suspect the distribution of the population is not Normal and may be moderately skewed. Which of the following statements is correct?A) You may use the t procedure, but you should probably claim the significance level is only 0.10.B) You may use the t procedure, provided your sample size is large, say, at least 30.C) You should not use the t procedure because the population does not have a Normal distribution.D) You may not use the t procedure because t procedures are robust to non-Normality for confidence intervals but not for tests of hypotheses.

Answers

Answer: B. You may use the t procedure, provided your sample size is large, say, at least 30.

Step-by-step explanation: To use a T test hypothesis, the following steps is considered;

1. Add the test hypothesis when using a T test module in the experiment

2. Add the date set that contains the columns that is to be analyzed

3. Decide which kind of T test is appropriated for the data

4. If single sample is been used, the adequate parameters should be used.

The correct statement in this case is "You may use the t procedure, provided your sample size is large, say, at least 30."

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. At a level of significance, does there appear to be a difference in the ability of the brands to absorb water?

Answers

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

[tex]H_0:\mu_x=\mu_y=\mu_z[/tex]

Alternative hypothesis: the means are not equal

[tex]H_a: \mu_x\neq\mu_y\neq\mu_z[/tex]

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

[tex]s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33[/tex]

Then, we calculate the mean standard error (MSE):

[tex]MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78[/tex]

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

[tex]M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91[/tex]

The MSB is then:

[tex]s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172[/tex]

Now we calculate the F statistic as:

[tex]F=MSB/MSE=172/23.78=7.23[/tex]

The degrees of freedom of the numerator are:

[tex]dfn=a-1=3-1=2[/tex]

The degrees of freedom of the denominator are:

[tex]dfd=N-a=3*4-3=12-3=9[/tex]

The P-value of F=7.23, dfn=2 and dfd=9 is:

[tex]P-value=P(F>7.23)=0.01342[/tex]

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

A history instructor has given the same pretest and the same final examination each semester. He is interested in determining if there is a relationship between the scores of the two tests. He computes the linear correlation coefficient and notes that it is 1.15. What does this correlation coefficient value tell the instructor?


A) The correlation is something other than linear.

B) There is a strong negative correlation between the tests.

C) The history instructor has made a computational error.

D) There is a strong positive correlation between the tests.

E) none of these

Answers

Answer:

5

skskjdkfhskhkshgjkdhh

Please answer this correctly correctly

Answers

Answer:

Step-by-step explanation:

+ You click on -15 for a point.

+ Then you move the mouse to the left.

+ Because x<-15, that means you do not take -15, you click on the -15 one more.

That is all.

Hope you understand.

Answer:

1.) You click on -15 for a point.

2.) Then you move the mouse to the left.

3.) Because x<-15, that means you do not take -15, you click on the -15 one more.

The Rivera family is taking a cruise that costs $3,082.24 for a family of four. How much does it cost per person?

Answers

It would cost $770.56 per person. Hope this helps!
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