Assignment:
Heights of Males. Listed below are randomly selected heights (in inches) of males from 1877 and from a recent National Health and Nutrition Examination Survey. (The 1877 data are from "Peirce and Bowditch: An American Contribution to Correlation and Regression," by Rovine and Anderson, The American Statistician, Vol. 58, No. 3.) Use the data for Exercises.
|
Heights from 1877
|
71
|
62
|
64
|
68
|
68
|
67
|
65
|
65
|
66
|
66
|
|
Recent Height
|
63
|
66
|
68
|
72
|
73
|
62
|
71
|
69
|
69
|
68
|
1. Find the mean, median, and standard deviation for each of the two samples.
2. Use a 0.05 significance level to test the claim that males in 1877 had a mean height that is less than the mean height of males today.
3. Use a 0.05 significance level to test the claim that heights of men from 1877 have a mean less than 69.1 in., which is the mean height given for men today (based on anthropometric data from Gordon, Churchill, et al.).
4. Construct a 95% confidence interval estimate of the mean height of males in 1877.
5. Construct a 95% confidence interval estimate of the difference between the mean height of males now and the mean height of males in 1877. (Use the recent heights as the first sample.) Does the confidence interval include 0? What does that tell us about the two population means?
6. Why would it not make sense to use the data in a test for a linear correlation between heights from 1877 and current heights?