A manufacturer of exercise equipment wanted to collect data on the effectiveness of their equipment. A magazine article
Posted: Wed May 11, 2022 8:27 am
A manufacturer of exercise equipment wanted to collect data on the effectiveness of their equipment. A magazine article compared how long it would take men and women to burn 200 calories during light or heavy workouts on various kinds of exercise equipment. The results summarized in the accompanying table are the average times for a group of physically active young men and women whose performances were measured on a representative sample of exercise equipment. Assume normality of the population. Complete parts (a) through (c) below.
13 Average Minutes to Burn 200 Calories Hard Exertion Light Exertion Machine Type Men Women Men Women Treadmill 13 16 21 X-C skier 12 16 16 24 Stair climber 17 21 38 Rowing machine 14 16 20 Exercise rider 21 24 26 36 Exercise bike 15 21 30 44 13 26
a) On average, how many minutes longer than a man must a woman exercise at a light exertion rate in order to burn 200 calories? Find a 95% confidence interval. OD minutes (Round to one decimal place as needed.) b) Estimate the average number of minutes longer a woman must work out at a light exertion than at heavy exertion to get the same benefit. Find a 95% confidence interval. (OD minutes (Round to one decimal place as needed.) c) These data are actually averages rather than individual times. How might this affect the margins of error in these confidence intervals? Choose the correct answer below. A. Individual times will be more variable. The standard error would be larger, resulting in a larger margin of error OB. Individual times will be less variable. The standard error would be smaller, resulting in a smaller margin of error. OC. The margin of error will be unaffected
13 Average Minutes to Burn 200 Calories Hard Exertion Light Exertion Machine Type Men Women Men Women Treadmill 13 16 21 X-C skier 12 16 16 24 Stair climber 17 21 38 Rowing machine 14 16 20 Exercise rider 21 24 26 36 Exercise bike 15 21 30 44 13 26
a) On average, how many minutes longer than a man must a woman exercise at a light exertion rate in order to burn 200 calories? Find a 95% confidence interval. OD minutes (Round to one decimal place as needed.) b) Estimate the average number of minutes longer a woman must work out at a light exertion than at heavy exertion to get the same benefit. Find a 95% confidence interval. (OD minutes (Round to one decimal place as needed.) c) These data are actually averages rather than individual times. How might this affect the margins of error in these confidence intervals? Choose the correct answer below. A. Individual times will be more variable. The standard error would be larger, resulting in a larger margin of error OB. Individual times will be less variable. The standard error would be smaller, resulting in a smaller margin of error. OC. The margin of error will be unaffected