10) A random sample of 16 women resulted in blood pressure levels with a standard deviation of 22.1 mm Hg. A random sample of 17 men resulted in blood pressure levels with a standard deviation of 20.8 mm Hg. Use a 0.025 significance level to test the claim that blood pressure levels for women have a larger variance than those for men.
A) H0: σ12 = σ22. H1: σ21 ≠ σ22.
Test statistic: F = 1.13. Critical value: F = 2.86
Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blood pressure levels for women have a larger variance than those for men.
B) H0: σ12 ≤ σ22. H1: σ21 > σ22.
Test statistic: F = 1.13. Critical value: F = 2.35.
Reject the null hypothesis. There is sufficient evidence to support the claim that blood pressure levels for women have a larger variance than those for men.
C) H0: σ12 ≤ σ22. H1: σ21 > σ22.
Test statistic: F = 1.06. Critical value: F = 2.79.
Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blood pressure levels for women have a larger variance than those for men.
D) H0: σ12 ≤ σ22. H1: σ21 > σ22.
Test statistic: F = 1.13. Critical value: F = 2.79.
Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blood pressure levels for women have a larger variance than those for men.