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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) 28 Actor (years) 56 Identify the test statistic. 31 33 30 27 38 23 39 40 33 35 26 43 33 52 37 34 42 36 D t= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.

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 Actor (years) 56 Identify the test statistic. 31 33 30 27 38 23 39 40 33 35 26 43 33 52 37 34 42 36 D t= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is less than or equal to the significance level, reject the null hypothesis. There is sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.

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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The image contains a problem related to ages of actresses and actors when they won awards in the categories of Best Actress and Best Actor. The ages are matched according to the year the awards were presented. There are two parts to the problem: ### Data Table: - **Actress (years):** 28, 31, 30, 27, 38, 23, 26, 43, 33, 36 - **Actor (years):** 56, 33, 39, 40, 33, 35, 52, 37, 34, 42 ### Task: Complete parts (a) and (b) below. ### Part (a): Conclude that actresses are generally younger when they won the award than actors. ### Part (b): Construct the confidence interval for the hypothesis test described in part (a). - **Confidence Interval Representation:** \[ \text{The confidence interval is } [ \_\_\_ ] \text{ year(s)} < \mu_d < [ \_\_\_ ] \text{ year(s)} \] (Round to one decimal place as needed.) - **Explanation Requirement:** What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains only negative numbers, the null hypothesis is rejected.
Transcribed Image Text:The image contains a problem related to ages of actresses and actors when they won awards in the categories of Best Actress and Best Actor. The ages are matched according to the year the awards were presented. There are two parts to the problem: ### Data Table: - **Actress (years):** 28, 31, 30, 27, 38, 23, 26, 43, 33, 36 - **Actor (years):** 56, 33, 39, 40, 33, 35, 52, 37, 34, 42 ### Task: Complete parts (a) and (b) below. ### Part (a): Conclude that actresses are generally younger when they won the award than actors. ### Part (b): Construct the confidence interval for the hypothesis test described in part (a). - **Confidence Interval Representation:** \[ \text{The confidence interval is } [ \_\_\_ ] \text{ year(s)} < \mu_d < [ \_\_\_ ] \text{ year(s)} \] (Round to one decimal place as needed.) - **Explanation Requirement:** What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains only negative numbers, the null hypothesis is rejected.
The image presents a data table comparing the ages of actresses and actors when they won awards in the categories of Best Actress and Best Actor, respectively. The ages are matched according to the year the awards were presented. The task involves statistical analysis to determine if there is a significant difference between the ages of actresses and actors at the time of winning. The data is as follows: - **Actress (years):** 28, 31, 30, 27, 38, 23, 26, 43, 33, 36 - **Actor (years):** 56, 33, 39, 40, 33, 35, 52, 37, 34, 42 Below the data, there are sections for performing a hypothesis test, including: 1. **Identify the test statistic (t):** A placeholder for the calculated value rounded to two decimal places. 2. **Identify the P-value:** A placeholder for the derived P-value rounded to three decimal places. 3. **Conclusion based on the hypothesis test:** There's text explaining that if the P-value is less than or equal to the significance level, we reject the null hypothesis, indicating sufficient evidence to support the claim that actresses are generally younger than actors when they win the award. There are placeholders for the conditions of the hypothesis test conclusion.
Transcribed Image Text:The image presents a data table comparing the ages of actresses and actors when they won awards in the categories of Best Actress and Best Actor, respectively. The ages are matched according to the year the awards were presented. The task involves statistical analysis to determine if there is a significant difference between the ages of actresses and actors at the time of winning. The data is as follows: - **Actress (years):** 28, 31, 30, 27, 38, 23, 26, 43, 33, 36 - **Actor (years):** 56, 33, 39, 40, 33, 35, 52, 37, 34, 42 Below the data, there are sections for performing a hypothesis test, including: 1. **Identify the test statistic (t):** A placeholder for the calculated value rounded to two decimal places. 2. **Identify the P-value:** A placeholder for the derived P-value rounded to three decimal places. 3. **Conclusion based on the hypothesis test:** There's text explaining that if the P-value is less than or equal to the significance level, we reject the null hypothesis, indicating sufficient evidence to support the claim that actresses are generally younger than actors when they win the award. There are placeholders for the conditions of the hypothesis test conclusion.
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