Homework 16

1.   A simple random sample of men who regularly work out at Mitch’s Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.01 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute (the mean resting pulse rate for men). Use the p-value method of testing hypotheses.

66 78 63 70 64 58 68 74 59 65 79 67

Enter the p-value. (Round your answer to nearest thousandth.)

2.   A simple random sample of men who regularly work out at Mitch’s Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.01 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute (the mean resting pulse rate for men). Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch’s Gym is known to be 8 beats per minute. Use the critical value method of testing hypotheses.

77 49 71 52 56 70 59 61 55 62 61 78

Enter the test statistic. (Round your answer to nearest hundredth.)

3.   A manufacturer uses a new production method to produce steel rods. A random sample of 27 steel rods resulted in lengths with a standard deviation of 3.18 cm. At the 0.01 significance level, using the p-value method, test the claim that the new production method has lengths with a standard deviation different from 3.08 cm, which was the standard deviation for the old method.

Enter the test statistic. (Round your answer to nearest hundredth.)

Homework 16 Answers