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 Click the icon to view the data table CTED 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 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 0 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 enor in these confidence intervals? Choose the correct answer below OA. 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 emor OC. The margin of error will be unaffected. Average Minutes to Burn 200 Calories Hard Exertion Men Women 13 17 11 17 13 17 M 13 16 22 23 25 16 20 Print Data table Machine Type Treade Treadmill X-C skier Stair climber Rowing machine Exercise rider Exercise bike Done Light Exertion Men 13 15 30 20 20 27 M Women wom 23 35 2 37 37 ** 44

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
Click the icon to view the data table.
C
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.
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.
(₁) 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.
O A. Individual times will be more variable. The standard error would be larger, resulting in a larger margin of error.
O B. Individual times will be less variable. The standard error would be smaller, resulting in a smaller margin of error.
O C. The margin of error will be unaffected.
- X
Average Minutes to Burn 200 Calories
Hard Exertion
Men
Women
13
17
11
17
13
17
13
16
23
25
16
20
Print
Data table
Machine Type
Treadmill
X-C skier
Stair climber
Rowing machine
Exercise rider
Exercise bike
Done
Light Exertion
Men
13
15
29
Women
23
22
36
26
44
Transcribed Image Text: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. Click the icon to view the data table. C 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. 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. (₁) 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. O A. Individual times will be more variable. The standard error would be larger, resulting in a larger margin of error. O B. Individual times will be less variable. The standard error would be smaller, resulting in a smaller margin of error. O C. The margin of error will be unaffected. - X Average Minutes to Burn 200 Calories Hard Exertion Men Women 13 17 11 17 13 17 13 16 23 25 16 20 Print Data table Machine Type Treadmill X-C skier Stair climber Rowing machine Exercise rider Exercise bike Done Light Exertion Men 13 15 29 Women 23 22 36 26 44
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman