Navigation » List of Schools, Subjects, and Courses » Math 10 – Introduction to Statistics » Section 9.3 Homework » Section 9.3 Homework Question 1
With Answers Good news! We are showing you only an excerpt of our suggested answer to this question. Should you need our help in customizing an answer to this question, feel free to send us an email at 
or chat with our customer service representative.
Section 9.3 Homework Question 1
Section 9.3 Homework
1. The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below.
significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors).
is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress’s age minus the actor’s age. What are the null and alternative hypotheses for the hypothesis test?
Identify the test statistic.
Identify the P-value.
What is the conclusion based on the hypothesis test?
Since the P-value is ____________ the significance level, _________ the null hypothesis. There _______ sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.
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)?
The confidence interval is _______
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains _________, ______ the null hypothesis.