A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's desire to consume the product. A fictitious brand of a healthy food product-sliced apples-was packaged to appeal to children. The researchers showed the packaging to a sample of 407 school children and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with 1= "not willing at all" and 5 = "very willing." The data are summarized as x= 3.28 and s =2.55. Suppose the researchers knew that the mean willingness to eat an actual brand of sliced apples (which is not packaged for children) is u = 3. Complete parts a and b below. a. Conauct a test to aetermine wnetner tne true mean willingness to eat tne prana or siicea appies packagea ror cniiaren exceeaea 3. Use a =U.U1 to make your conciusion. State the null and alternative hypotheses. Ha: Find the test statistic, z= (Round to two decimal places as needed.) Find the p-value. p-value = (Round three decimal places as needed.) What is the appropriate conclusion at a = 0.01? O A. Reject H. There is sufficient evidence conclude that the true mean response for all school children greater than 3. O B. Reject Ho. There is insufficient evidence conclude that the true mean response for all school children greater than 3 OC. Do not reject Ho. There is sufficient evidence to conclude that the true mean response for all school children is greater than 3. O D. Do not reject H. There insufficient evidence to conclude that the true mean response for all school children is greater than 3. b. The data (willingness to eat values) are not normally distributed. How does this impact (if at all) the validity of your conclusion in part a? Explain. O A. The conclusion is still valid because the sampling distribution of the sample mean is always approximately normal, even if the underlying population distribution is not. O B. Since the data are not normally distributed, the test statistic is not normally distributed the conclusion is no longer valid. Oc. The conclusion is still valid because the sample size is large enough that the Central Limit Theorem applies. O D. The samnle size is not laroe enouah for the conclusion to he valid.

A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's desire to consume the product. A fictitious brand of a healthy food product-sliced apples-was packaged to appeal to children. The researchers showed the packaging to a sample of 407 school children and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with 1= "not willing at all" and 5 = "very willing." The data are summarized as x= 3.28 and s =2.55. Suppose the researchers knew that the mean willingness to eat an actual brand of sliced apples (which is not packaged for children) is u = 3. Complete parts a and b below. a. Conauct a test to aetermine wnetner tne true mean willingness to eat tne prana or siicea appies packagea ror cniiaren exceeaea 3. Use a =U.U1 to make your conciusion. State the null and alternative hypotheses. Ha: Find the test statistic, z= (Round to two decimal places as needed.) Find the p-value. p-value = (Round three decimal places as needed.) What is the appropriate conclusion at a = 0.01? O A. Reject H. There is sufficient evidence conclude that the true mean response for all school children greater than 3. O B. Reject Ho. There is insufficient evidence conclude that the true mean response for all school children greater than 3 OC. Do not reject Ho. There is sufficient evidence to conclude that the true mean response for all school children is greater than 3. O D. Do not reject H. There insufficient evidence to conclude that the true mean response for all school children is greater than 3. b. The data (willingness to eat values) are not normally distributed. How does this impact (if at all) the validity of your conclusion in part a? Explain. O A. The conclusion is still valid because the sampling distribution of the sample mean is always approximately normal, even if the underlying population distribution is not. O B. Since the data are not normally distributed, the test statistic is not normally distributed the conclusion is no longer valid. Oc. The conclusion is still valid because the sample size is large enough that the Central Limit Theorem applies. O D. The samnle size is not laroe enouah for the conclusion to he valid.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's desire to consume the product. A fictitious brand of a healthy food

product—sliced

apples—was

packaged to appeal to children. The researchers showed the packaging to a sample of

407

school children and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with

1="not

willing at all" and

5="very

willing." The data are summarized as

x=3.28

and

s=2.55.

Suppose the researchers knew that the mean willingness to eat an actual brand of sliced apples (which is not packaged for children) is

μ=3.

Complete parts a and b below.

Transcribed Image Text:A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's desire to consume the product. A fictitious brand of a healthy food product-sliced apples-was packaged to appeal to children. The researchers showed the packaging to a sample of 407 school children and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with 1 = "not willing at all" and 5 = "very willing." The data are summarized as x = 3.28 and s = 2.55. Suppose the researchers knew that the mean willingness to eat an actual brand of sliced apples (which is not packaged for children) is µ = 3. Complete parts a and b below. %3D a. Conduct a test to determine wnether the true mean wIIIingness to eat the brand of siiced appies packaged for chiiaren exceeded 3. use x = 0.01 to make your conciusion. State the null and alternative hypotheses. Ho: Ha: Find the test statistic. (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) What is the appropriate conclusion at a = 0.01? A. Reject Ho: There is sufficient evidence to conclude that the true mean response for all school children is greater than 3. B. Reject Ho: There is insufficient evidence to conclude that the true mean response for all school children is greater than 3. C. Do not reject Ho. There is sufficient evidence to conclude that the true mean response for all school children is greater than 3. D. Do not reject Ho. There is insufficient evidence to conclude that the true mean response for all school children is greater than 3. b. The data (willingness to eat values) are not normally distributed. How does this impact (if at all) the validity of your conclusion in part a? Explain. A. The conclusion is still valid because the sampling distribution of the sample mean is always approximately normal, even if the underlying population distribution is not. B. Since the data are not normally distributed, the test statistic is not normally distributed and the conclusion is no longer valid. C. The conclusion is still valid because the sample size is large enough that the Central Limit Theorem applies. O D. The sample size is not large enouah for the conclusion to be valid.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.