A recent study found that 62 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 39 grams of potato chips as compared to a mean of 25 grams for 52 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 21.4 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.9 grams. 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 tStat=____ p-value=____ What is the correct conclusion? A. 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. B. 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. 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. D. 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.

A recent study found that 62 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 39 grams of potato chips as compared to a mean of 25 grams for 52 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 21.4 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.9 grams. 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 tStat= p-value= What is the correct conclusion? A. 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. B. 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. 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. D. 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.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

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

tStat=____

p-value=____

What is the correct conclusion?

A. 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.

B. 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. 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.

D. 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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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