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Children’s recall of TV ads. Refer to the Journal of
Chapter 8, Problem 81E(choose chapter or problem)
Children’s recall of TV ads. Refer to the Journal of Advertising (Spring 2006) study of children’s recall of television commercials, Exercise 8.15 (p. 434). You used a smallsample t-test to test the null hypothesis \(H_0:(\mu_1-\mu_2)=0\), where \(\mu_1\) = mean number of ads recalled by children in the video only group and \(\mu_2\) = mean number of ads recalled by children in the A/V group. Summary statistics for the study are reproduced in the table below. The validity of the inference derived from the test is based on the assumption of equal group variances, i.e., \(\sigma_{1}^{2}=\sigma_{2}^{2}\).
a. Set up the null and alternative hypotheses for testing this assumption.
b. Compute the test statistic.
c. Find the rejection region for the test using \(\alpha\ =\ .10\).
d. Make the appropriate conclusion in the words of the problem.
e. Comment on the validity of the inference derived about the difference in population means in Exercise 8.15.
Questions & Answers
QUESTION:
Children’s recall of TV ads. Refer to the Journal of Advertising (Spring 2006) study of children’s recall of television commercials, Exercise 8.15 (p. 434). You used a smallsample t-test to test the null hypothesis \(H_0:(\mu_1-\mu_2)=0\), where \(\mu_1\) = mean number of ads recalled by children in the video only group and \(\mu_2\) = mean number of ads recalled by children in the A/V group. Summary statistics for the study are reproduced in the table below. The validity of the inference derived from the test is based on the assumption of equal group variances, i.e., \(\sigma_{1}^{2}=\sigma_{2}^{2}\).
a. Set up the null and alternative hypotheses for testing this assumption.
b. Compute the test statistic.
c. Find the rejection region for the test using \(\alpha\ =\ .10\).
d. Make the appropriate conclusion in the words of the problem.
e. Comment on the validity of the inference derived about the difference in population means in Exercise 8.15.
ANSWER:
Step 1 of 7
Let 
Here we have the following summary data.
Video Only group |
A/V group |
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Size |
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Mean |
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Standard deviation |
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a) Here we set up the null and alternative hypotheses as follows:
variance of Video only Group and A/V Group
of Video only Group and A/V Group