Listed below are randomly selected heights (in inches) of males from year 1877 and from a recent survey.

Listed below are randomly selected heights (in inches) of males from year 1877 and from a recent survey.

Height from year 1877

71       62       64        68       68       67       65       65       66       66

Recent Heights

63       66       68        72       73       62       71       69       69       68

1. Find the mean and standard deviation for each of the two samples.
2. Use a 0.05 significance level to test the claim that heights of men from 1877 have a mean less than 69.1 inches, which is the mean height given for men today.
3. Construct a 95% confidence interval estimate of the mean height of males in 1877.
4. 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.