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

Height from year 1877

71626468686765656666

Recent Heights

63666872736271696968

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.