Math 80-Statistics Hypothesis Testing -Comparing Two Population Means

1. A researcher was interested in comparing the resting pulse rate of people who exercise regularly with the rates of people who do not exercise regularly. Random samples of 16 people between ages of 30 and 40 who do not exercise regularly, and 12 people between the ages of 30 and 40 who do exercise regularly were selected and the resting pulse rate (in beats per minute) of each person was measured.

Exercise 66 68 73 80 70 73 68 67 71 67 69 67

No Exercise 69 70 63 76 67 64 68 80 81 79 65 84 78 85 64 73

At a 3% level of significance, is there sufficient evidence to conclude that the mean resting pulse rate of people who do exercise regularly is less than the mean resting pulse rate of people who do not exercise regularly?

Make sure to show the 4 steps of hypothesis testing.