Women's height is a suspected factor for difficult deliveries, that is, shorter women are more likely to have Caesarean sections. A medical researcher found in a sample of 45 women who had a normal delivery that their mean height was 61.4 inches with a standard deviation of 1.2 inches. A second sample of 39 women who had a Caesarean section had a mean height of 60.6 inches with a standard deviation of 1.1 inches. Are those who had a Caesarean section shorter? Use the .05 significance level. Find the p-value and explain what it means.
(1) State the decision rule. (Round your answer to 2 decimal places.)
(2) Compute the value of the test statistic. (Round your answer to 2 decimal places.)
(3) What is your decision regarding HO?
(4) What is the p-value?