A recent study found that 61 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 36 grams of potato chips as compared to a mean of 27 grams for 51 children who watched a commercial for an alternative food snack. Suppose that the sample standard deviation for the children who watched the celebrity-endorsed commercial was 21.3 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.7 grams. Complete parts (a) through (d) below. a. Assuming that the population variances are equal and α=0.05, is there evidence that the mean amount of potato chips eaten was significantly higher for the children who watched the celebrity-endorsed commercial? Let population 1 be the weights of potato chips eaten by children who watched the celebrity-endorsed commercial and let population 2 be the weights of potato chips eaten by children who watched the alternative food snack commercial. What are the correct null and alternative hypotheses? A. H0: μ1−μ2≥0 H1: μ1−μ2<0 B. H0: μ1−μ2≠0 H1: μ1−μ2=0 C. H0: μ1−μ2=0 H1: μ1−μ2≠0 D. H0: μ1−μ2≤0 H1: μ1−μ2>0 Your answer is correct. What is the test statistic? tSTAT=2.652.65 (Round to two decimal places as needed.) What is the corresponding p-value? p-value=0.0050.005 (Round to three decimal places as needed.) What is the correct conclusion? A. Do not reject H0. There is insufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. B. Do not reject H0. There is sufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. C. Reject H0. There is insufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. D. Reject H0. There is sufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. Your answer is correct. b. Assuming that the population variances are equal, construct a 95% confidence interval estimate of the difference μ1−μ2 between the mean amount of potato chips eaten by the children who watched the celebrity-endorsed commercial and children who watched the alternative food snack commercial. enter your response here≤μ1−μ2≤enter your response here (Type integers or decimals rounded to two decimal places as needed.)

A recent study found that 61 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 36 grams of potato chips as compared to a mean of 27 grams for 51 children who watched a commercial for an alternative food snack. Suppose that the sample standard deviation for the children who watched the celebrity-endorsed commercial was 21.3 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.7 grams. Complete parts (a) through (d) below. a. Assuming that the population variances are equal and α=0.05, is there evidence that the mean amount of potato chips eaten was significantly higher for the children who watched the celebrity-endorsed commercial? Let population 1 be the weights of potato chips eaten by children who watched the celebrity-endorsed commercial and let population 2 be the weights of potato chips eaten by children who watched the alternative food snack commercial. What are the correct null and alternative hypotheses? A. H0: μ1−μ2≥0 H1: μ1−μ2<0 B. H0: μ1−μ2≠0 H1: μ1−μ2=0 C. H0: μ1−μ2=0 H1: μ1−μ2≠0 D. H0: μ1−μ2≤0 H1: μ1−μ2>0 Your answer is correct. What is the test statistic? tSTAT=2.652.65 (Round to two decimal places as needed.) What is the corresponding p-value? p-value=0.0050.005 (Round to three decimal places as needed.) What is the correct conclusion? A. Do not reject H0. There is insufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. B. Do not reject H0. There is sufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. C. Reject H0. There is insufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. D. Reject H0. There is sufficient evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial. Your answer is correct. b. Assuming that the population variances are equal, construct a 95% confidence interval estimate of the difference μ1−μ2 between the mean amount of potato chips eaten by the children who watched the celebrity-endorsed commercial and children who watched the alternative food snack commercial. enter your response here≤μ1−μ2≤enter your response here (Type integers or decimals rounded to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Related questions

Question

Answer B please

A recent study found that

children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of

grams of potato chips as compared to a mean of

grams for

children who watched a commercial for an alternative food snack. Suppose that the sample standard deviation for the children who watched the celebrity-endorsed commercial was

21.3

grams and the sample standard deviation for the children who watched the alternative food snack commercial was

12.7

grams. Complete parts (a) through (d) below.

a. Assuming that the population variances are equal and

α=0.05,

is there evidence that the mean amount of potato chips eaten was significantly higher for the children who watched the celebrity-endorsed commercial?

Let population 1 be the weights of potato chips eaten by children who watched the celebrity-endorsed commercial and let population 2 be the weights of potato chips eaten by children who watched the alternative food snack commercial. What are the correct null and alternative hypotheses?

H0:

μ1−μ2≥0

H1:

μ1−μ2<0

H0:

μ1−μ2≠0

H1:

μ1−μ2=0

H0:

μ1−μ2=0

H1:

μ1−μ2≠0

H0:

μ1−μ2≤0

H1:

μ1−μ2>0

Your answer is correct.

What is the test statistic?

tSTAT=2.652.65

(Round to two decimal places as needed.)

What is the corresponding p-value?

p-value=0.0050.005

(Round to three decimal places as needed.)

What is the correct conclusion?

Do not reject

H0.

There is

insufficient

evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial.

Do not reject

H0.

There is

sufficient

evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial.

Reject

H0.

There is

insufficient

evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial.

Reject

H0.

There is

sufficient

evidence that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial.

Your answer is correct.

b. Assuming that the population variances are equal, construct a

95%

confidence interval estimate of the difference

μ1−μ2

between the mean amount of potato chips eaten by the children who watched the celebrity-endorsed commercial and children who watched the alternative food snack commercial.

enter your response here≤μ1−μ2≤enter your response here

(Type integers or decimals rounded to two decimal places as needed.)

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