As part of an overall evaluation of training methods, an experiment was conducted to determine the average exercise capacity of healthy male army inductees. To do this, each male in a random sample of 35 healthy army inductees exercised on a bicycle ergometer (a device for measuring work done by the muscles) under a fixed workload until he tired. Blood pressure, pulse rates, and other indicators were carefully monitored to ensure that no one’s health was in danger. The exercise capacities (mean time, in minutes) for the 35 inductees are listed in the data 1. The original question asks for a 95% confidence interval, but I know how to do that. my question is, how do you decide what distribution to use? We do not know the population standard deviation, so I would say t, but isn't one of the assumptions associated with t distribution that the sample be normally distributed? these data aren't normal (by Anderson darling test and qq plot) 2. What are the assumptions of a t distribution? of a Z Distribution? Which one of these would you use to create a 95% CI?    Use the following data: 'capacity' 23 28 35 42 21 19 14 25 45 49 36 44 29 23 27 12 15 17 29 39 41 46 51 18 44 43 36 33 14 18 19 25 47 48 13

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
Topic Video
Question

As part of an overall evaluation of training methods, an experiment was conducted to determine the average exercise capacity of healthy male army inductees. To do this, each male in a random sample of 35 healthy army inductees exercised on a bicycle ergometer (a device for measuring work done by the muscles) under a fixed workload until he tired. Blood pressure, pulse rates, and other indicators were carefully monitored to ensure that no one’s health was in danger. The exercise capacities (mean time, in minutes) for the 35 inductees are listed in the data

1. The original question asks for a 95% confidence interval, but I know how to do that. my question is, how do you decide what distribution to use? We do not know the population standard deviation, so I would say t, but isn't one of the assumptions associated with t distribution that the sample be normally distributed? these data aren't normal (by Anderson darling test and qq plot)

2. What are the assumptions of a t distribution? of a Z Distribution? Which one of these would you use to create a 95% CI? 

 

Use the following data:

'capacity'

23

28

35

42

21

19

14

25

45

49

36

44

29

23

27

12

15

17

29

39

41

46

51

18

44

43

36

33

14

18

19

25

47

48

13

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar 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