Rework Exercise 38, basing the decision on the P-value corresponding to the observed value of the test statistic.
Exercise 38
Sample surveys conducted in a large county in a certain year and again 20 years later showed that originally the average height of 400 ten-year-old boys was 53.8 inches with a standard deviation of 2.4 inches, whereas 20 years later the average height of 500 ten-year-old boys was 54.5 inches with a standard deviation of 2.5 inches. Use the four steps in the initial part of Section 1 and the 0.05 level of significance to test the null hypothesis μ1 - μ2 = -0.5 against the alternative hypothesis μ1 - μ2