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

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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.

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