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One study claims that the variance in the resting heart rates of smokers is different than the variance in the resting heart rates of nonsmokers. A medical student decides to test this claim. The sample variance of resting heart rates, measured in beats per minute, for a random sample of 4 smokers is 126.8. The sample variance for a random sample of 4 nonsmokers is 597.6. Assume that both population distributions are approximately normal and test the study’s claim using a 0.02 level of significance. Does the evidence support the study’s claim? Let smokers be Population 1 and let nonsmokers be Population 2.   Step 1 of 3:  State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ21=σ22: Ha: σ21⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯σ22 Compute the value of the test statistic. Round your answer to four decimal places. Draw a conclusion and interpret the decision

One study claims that the variance in the resting heart rates of smokers is different than the variance in the resting heart rates of nonsmokers. A medical student decides to test this claim. The sample variance of resting heart rates, measured in beats per minute, for a random sample of 4 smokers is 126.8. The sample variance for a random sample of 4 nonsmokers is 597.6. Assume that both population distributions are approximately normal and test the study’s claim using a 0.02 level of significance. Does the evidence support the study’s claim? Let smokers be Population 1 and let nonsmokers be Population 2.   Step 1 of 3:  State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ21=σ22: Ha: σ21⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯σ22 Compute the value of the test statistic. Round your answer to four decimal places. Draw a conclusion and interpret the decision

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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One study claims that the variance in the resting heart rates of smokers is different than the variance in the resting heart rates of nonsmokers. A medical student decides to test this claim. The sample variance of resting heart rates, measured in beats per minute, for a random sample of 4 smokers is 126.8. The sample variance for a random sample of 4 nonsmokers is 597.6. Assume that both population distributions are approximately normal and test the study’s claim using a 0.02 level of significance. Does the evidence support the study’s claim? Let smokers be Population 1 and let nonsmokers be Population 2.
 
Step 1 of 3: 
State the null and alternative hypotheses for the test. Fill in the blank below.

H0: σ21=σ22: Ha: σ21⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯σ22
Compute the value of the test statistic. Round your answer to four decimal places.
Draw a conclusion and interpret the decision
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