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 0.1 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 critical value method of testing hypotheses. 55 68 59 76 80 65 58 58 80 49 60 58 Enter the test statistic. (Round your answer to nearest hundredth.)

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 critical value method of testing hypotheses. 57 69 51 57 51 49 75 62 49 74 67 62 Enter the test statistic. (Round your answer to nearest hundredth.)

A manufacturer uses a new production method to produce steel rods. A random sample of 3 steel rods resulted in lengths with a standard deviation of 3.39 cm. At the 0.01 significance level, using the critical value method, test the claim that the new production method has lengths with a standard deviation different from 3.47 cm, which was the standard deviation for the old method. Enter the smallest critical value. (Round your answer to nearest thousandth.)