1- Test the following hypotheses at the 0.05 significance level for the mean: a. Test the claim that the mean salary for males is not equal to the mean salary for females. b. Test the claim the mean BMI for males is greater than the BMI for females. c. Test the claim the mean height for males is equal to the mean height for females. d. Test the claim that the mean systolic blood pressure for males is less than the mean for systolic blood pressure for females.

1. Test the claim the mean height for males is equal to the mean height for females.

Null Hypothesis:H₀: ?1 = ?2

Alternative Hypothesis: H₁: ?1 ??2

Where ?1 is mean height for males and

?2 is the mean height for females

Compute and show your p values: Rewriting the null and alternative hypothesis.

Null hypothesis H_0:?1 - ?2 = 0

Alternative Hypothesis: H₁: ?1 -?2 0

Oneway Analysis of HEIGHT By SEX 2 33 -1.64-1 28 -0.67 0.0 0.67 1 28 1.64 233 F 75- M 70 . . HEIGHT 65 60 55- F M 0.99 0.01 0.02 0.95 0.98 SEX Normal Quantile t Test M-F Assuming unequal variances Difference 5.60887 t Ratio 12.72486 Std Err Dif 0.44078 DF 135.5469 Upper CL Dif 6.48057 Prob > (t) <.0001 lower cl dif prob> t <.0001 confidence prob t>