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The following category of Best Actress, along with the ages of actors when they won in the category of Best Acto ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 25 27 28 28 37 26 25 44 27 33 D Actor (years) 35 35 39 29 37 55 35 37 39 59 ..... a. Use the sample data with a 0.01 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). In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individyal difference d is defined as the actress's age minus the actor's age. What are the null and

The following category of Best Actress, along with the ages of actors when they won in the category of Best Acto ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 25 27 28 28 37 26 25 44 27 33 D Actor (years) 35 35 39 29 37 55 35 37 39 59 ..... a. Use the sample data with a 0.01 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). In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individyal difference d is defined as the actress's age minus the actor's age. What are the null and

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Title: Analysis of Ages: Best Actress vs. Best Actor** The following data presents 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. The goal is to analyze if Best Actresses are generally younger than Best Actors. **Data:** - **Actress (years):** 25, 27, 28, 28, 37, 26, 25, 44, 27, 33 - **Actor (years):** 59, 35, 35, 39, 29, 37, 55, 35, 37, 39 **Statistical Analysis:** - **Objective:** Use a sample data with a 0.01 significance level to test the claim for the population of ages of Best Actresses and Best Actors. Specifically, evaluate if the differences have a mean less than 0, indicating that Best Actresses are generally younger than Best Actors. - **In this example:** - \( \mu_d \) represents the mean value of the differences \( d \) for all pairs of data, where each individual difference \( d \) is defined as the actress's age minus the actor's age. - **Hypothesis Test:** - **Null Hypothesis (\( H_0 \)):** \( \mu_d = 0 \) year(s) - **Alternative Hypothesis (\( H_1 \)):** \( \mu_d < 0 \) year(s) **Conclusion:** By analyzing the sample data and performing the hypothesis test, we can conclude whether or not Best Actresses tend to be younger than Best Actors when receiving awards. **Note:** Please enter integers or decimals as needed, but do not round.
Transcribed Image Text:**Title: Analysis of Ages: Best Actress vs. Best Actor** The following data presents 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. The goal is to analyze if Best Actresses are generally younger than Best Actors. **Data:** - **Actress (years):** 25, 27, 28, 28, 37, 26, 25, 44, 27, 33 - **Actor (years):** 59, 35, 35, 39, 29, 37, 55, 35, 37, 39 **Statistical Analysis:** - **Objective:** Use a sample data with a 0.01 significance level to test the claim for the population of ages of Best Actresses and Best Actors. Specifically, evaluate if the differences have a mean less than 0, indicating that Best Actresses are generally younger than Best Actors. - **In this example:** - \( \mu_d \) represents the mean value of the differences \( d \) for all pairs of data, where each individual difference \( d \) is defined as the actress's age minus the actor's age. - **Hypothesis Test:** - **Null Hypothesis (\( H_0 \)):** \( \mu_d = 0 \) year(s) - **Alternative Hypothesis (\( H_1 \)):** \( \mu_d < 0 \) year(s) **Conclusion:** By analyzing the sample data and performing the hypothesis test, we can conclude whether or not Best Actresses tend to be younger than Best Actors when receiving awards. **Note:** Please enter integers or decimals as needed, but do not round.
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