12.17 A farmer wants to test three brands of weight-gain diets for chickens to determine if the mean weight gain for each of these brands is the same. He selected 15 chickens and randomly put each of them on one of these three brands of diet. The following table lists the weights (in pounds) gained by these chickens after a period of 1 month Brand A Brand C Brand B 8 6 1.2 1.3 1.3 8 6 7 1.7 9 4 1.5 .7 6 9 a. At a 1% significance level, can you reject the null hypothesis that the mean weight gain for all chickens is the same for each of these three diets? b. If you did not reject the null hypothesis in part a, explain the Type II error that you may have made in this case. Note that you cannot calculate the probability of committing a Type II error without additional information

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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12.17 A farmer wants to test three brands of weight-gain diets for
chickens to determine if the mean weight gain for each of these brands
Transcribed Image Text:12.17 A farmer wants to test three brands of weight-gain diets for chickens to determine if the mean weight gain for each of these brands
is the same. He selected 15 chickens and randomly put each of them on
one of these three brands of diet. The following table lists the weights
(in pounds) gained by these chickens after a period of 1 month
Brand A
Brand C
Brand B
8
6
1.2
1.3
1.3
8
6
7
1.7
9
4
1.5
.7
6
9
a. At a 1% significance level, can you reject the null hypothesis
that the mean weight gain for all chickens is the same for each
of these three diets?
b. If you did not reject the null hypothesis in part a, explain the
Type II error that you may have made in this case. Note that
you cannot calculate the probability of committing a Type II
error without additional information
Transcribed Image Text:is the same. He selected 15 chickens and randomly put each of them on one of these three brands of diet. The following table lists the weights (in pounds) gained by these chickens after a period of 1 month Brand A Brand C Brand B 8 6 1.2 1.3 1.3 8 6 7 1.7 9 4 1.5 .7 6 9 a. At a 1% significance level, can you reject the null hypothesis that the mean weight gain for all chickens is the same for each of these three diets? b. If you did not reject the null hypothesis in part a, explain the Type II error that you may have made in this case. Note that you cannot calculate the probability of committing a Type II error without additional information
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