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
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
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
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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