Perform the Tukey Test
-A Researcher Is Investigating Whether Gender $\alpha = 0.05$

Perform the Tukey Test
-A researcher is investigating whether gender and exercise are factors which explain resting pulse rate in her adult patients. She randomly selected three patients from each category and recorded their resting pulse rates. The results are given in the table. Pulse rates are in beats per minute. A two-way analysis of variance is to be performed. Assume that the data come from populations that are normally distributed with the same variance. If there is a significant difference in the means for gender, use Tukey's test to determine which pairwise means differ using a familywise error rate of $\alpha = 0.05$ . Give the $\mathrm { P }$ -value for any significant differences. If there is a significant difference in the means for the three exercise levels, use Tukey's test to determine which pairwise means differ using a familywise error rate of $\alpha = 0.05$ . Give the $\mathrm { P }$ -value for any significant differences.

Levels of the factor exercise are defined as follows:
level 1: little or no exercise.
level 2: regular moderate exercise
level 3: regular vigorous exercise