The table below shows a sample of waiting times​ (in days) for a heart transplant for two age groups. At α=​0.05, can you conclude that the variances of the waiting times differ between the two age​ groups?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
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The table below shows a sample of waiting times​ (in days) for a heart transplant for two age groups. At α=​0.05, can you conclude that the variances of the waiting times differ between the two age​ groups?

The table below shows a sample of waiting times (in days) for a heart transplant for two age groups. At a = 0.05, can you conclude that the variances of the waiting times differ between the two age groups?
18-34
35-49
155 173
167
171
160
211
193 212
210
199 211
198
(a) Determine the hypotheses. Let o? be the variance for the 18-34 group and let o? be the variance for the 35-49 group. Choose the correct answer below.
O A. Ho: of #o3
Hai of =o3
OC. Ho: o =02
B. Ho: of z03
Hại of <o}
O D. Ho: of so3
Hại of >o?
(b) Determine the critical value.
Fo =O
(Round to two decimal places as needed.)
%3D
What is the rejection region for this F-test?
O A. F< -Fo or F >Fo
О В. - Fo<F<Fo
OC. F>Fo
O D. F<Fo
(c) Compute the F test statistic.
F =
(Round to two decimal places as needed.)
(d) Reach a decision.
Ho. There is
evidence to conclude that the variances of the waiting times differ between the two age groups.
Transcribed Image Text:The table below shows a sample of waiting times (in days) for a heart transplant for two age groups. At a = 0.05, can you conclude that the variances of the waiting times differ between the two age groups? 18-34 35-49 155 173 167 171 160 211 193 212 210 199 211 198 (a) Determine the hypotheses. Let o? be the variance for the 18-34 group and let o? be the variance for the 35-49 group. Choose the correct answer below. O A. Ho: of #o3 Hai of =o3 OC. Ho: o =02 B. Ho: of z03 Hại of <o} O D. Ho: of so3 Hại of >o? (b) Determine the critical value. Fo =O (Round to two decimal places as needed.) %3D What is the rejection region for this F-test? O A. F< -Fo or F >Fo О В. - Fo<F<Fo OC. F>Fo O D. F<Fo (c) Compute the F test statistic. F = (Round to two decimal places as needed.) (d) Reach a decision. Ho. There is evidence to conclude that the variances of the waiting times differ between the two age groups.
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