Statistics ( Mean, regression, Correlation, p value) show all work. include any calculator commands if applicable. Round to three decimal places.
1. Listed below are the ages of actresses and actors matched at the time that they won Oscars by year. (14 pts)
Actress 28 32 27 26 24 25 29 41 40 27
Actor 62 41 52 41 34 40 56 41 39 49
a. Construct a 90% confidence interval estimate of the mean of the differences between the ages of the actresses and actors. Does this interval provide good evidence that the actresses are younger?
b. At the 5% significance level, test the common belief that the best actresses are younger than the best actors. State the null and alternate hypothesis, find the test statistic and p-value, and state the decision.
