The provided data compares the ages of actresses and actors when they won awards in the categories of Best Actress and Best Actor, respectively. The ages are paired according to the year the awards were presented. Here's the data:- **Actress (years):** 28, 28, 32, 30, 32, 25, 27, 44, 28, 35- **Actor (years):** 56, 36, 40, 41, 30, 34, 47, 41, 38, 44### Tasks:(a) **Identify the test statistic.** - t = [Blank] (Round to two decimal places as needed.)(b) **Identify the P-value.** - P-value = [Blank] (Round to three decimal places as needed.)**Conclusion Based on the Hypothesis Test:**- Since the P-value is [Dropdown] the significance level, [Dropdown] the null hypothesis. - There [Dropdown] sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.**Further Analysis:**- Construct a confidence interval that could be used for the hypothesis test described. Determine the features of this interval that lead to the same conclusion as the hypothesis test.### Explanation:The task involves conducting a statistical test, likely a t-test, to compare the mean ages of two independent samples (actresses and actors) and to draw conclusions about their ages when receiving awards. 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. - **Actress (years)**: 28, 28, 32, 30, 32, 25, 27, 44, 28, 35- **Actor (years)**: 56, 36, 40, 41, 39, 34, 47, 41, 38, 44---a. **Hypothesis Testing:**- _Since the P-value is_ [dropdown] _the significance level_ [dropdown] _the null hypothesis_. There [dropdown] _sufficient evidence to support the claim that actresses are generally younger when they won the award than actors_.b. **Constructing the Confidence Interval:**- 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 [ ] year(s) < μ₀ - μₐ < [ ] year(s). (Round to one decimal place as needed.) - What feature of the confidence interval leads to the same conclusion reached in part (a)? - Since the confidence interval contains [ ] the null hypothesis.

Given data: Actress (years) Actor (years) 28 56 28 36 32 40 30 41 32 30 25 34 27 47…

Answered: The following data lists the ages of a…

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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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. Actress (years) 27 Actor (years) 61 29 35 28 31 36 39 36 33 25 27 34 47 41 41 31 37 35 D 43 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, H 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? Ho Hd= 0 year(s) H₁ Hd< 0 year(s) (Type integers or decimals. Do not round.)…
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. Actress (years) 26 Actor (years) 26 32 28 38 29 29 45 27 31 D 60 37 40 40 28 36 50 35 41 43 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, Hd 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? Ho: Ha year(s) year(s) (Type integers or decimals. Do not round.)
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