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A random sample of 16 women resulted in blood pressure levels with a standard deviation of...

A random sample of 16 women resulted in blood pressure levels with a standard deviation of 22.7 mm Hg. A random sample of 17 men resulted in blood pressure levels with a standard deviation of 20.1 mm Hg. Use a 0.05 significance level to test the claim that blood pressure for women vary more than blood pressure levels for men.

Math   Statistics-And-Probability   
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Answer #1

To Test :-

H0 :-  

H1 :-

Test Statistic :-

f = 515.29 / 404.01
f = 1.2754


Test Criteria :-
Reject null hypothesis if

= 1.2754 < 2.289 , hence we fail to reject the null hypothesis
Conclusion :- We Fail to Reject H0


Decision based on P value
P value = P ( f > 1.2754 )
P value = 0.3144
Reject null hypothesis if P value <
Since P value = 0.3144 > 0.05, hence we fail to reject the null hypothesis
Conclusion :- We Fail to Reject H0

There is insufficient evidence to support the claim that blood pressure for women vary more than blood pressure levels for men at 5% level of significance.

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