Exercise 5 “Oscar Hypothesis Test” using all of the sample data from Data Set 14 “Oscar Winner Age” in Appendix B. Note that the pairs of data consist of ages that are matched according to the year in which the Oscars were won. Again use a significance level of 0.05.

Use the indicated Data Sets in Appendix B. The complete data sets can be found at www.TriolaStats.com. Assume that the paired sample data are simple random samples and the differences have a distribution that is approximately normal.

a. Example 1 on page 444 in this section used only five pairs of data from Data Set 14 “Oscar Winner Age” in Appendix B. Repeat the hypothesis test of Example 1 using the data given below. Use a 0.05 significance level as in Example 1.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?

Data From Exercise 1:

For the methods of this section, which of the following statements are true?

Data Set 14: Oscar Winner Age

Data are from 87 years (first five rows shown here). Data values are ages (years) of actresses and actors at the times that they won Oscars in the categories of Best Actress and Best Actor. The ages are listed in chronological order by row, so that each row has paired ages from the same year. (Note: In 1968 there was a tie in the Best Actress category, and the mean of the two ages is used; in 1932 there was a tie in the Best Actor category, and the mean of the two ages is used).

These data are suggested by the article “Ages of Oscar-Winning Best Actors and Actresses,” by Richard Brown and Gretchen Davis, Mathematics Teacher magazine. In that article, the year of birth of the award winner was subtracted from the year of the awards ceremony, but the ages listed here are calculated from the birth date of the winner and the date of the awards ceremony.