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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 whe 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) 30 Actor (years) 25 28 31 37 23 29 68 34 32 34 28 35 52 37 27 31 38 38 45 accom

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 whe 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) 30 Actor (years) 25 28 31 37 23 29 68 34 32 34 28 35 52 37 27 31 38 38 45 accom

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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### Analysis of Award Winners' Ages 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. | Actress (years) | 30 | 25 | 28 | 31 | 37 | 23 | 29 | 37 | 27 | 31 | |----------------|----|----|----|----|----|----|----|----|----|----| | Actor (years) | 68 | 34 | 32 | 34 | 28 | 35 | 52 | 38 | 38 | 45 | --- #### Hypothesis Testing 1. **P-value Calculation:** - It is crucial to calculate the P-value and round it to three decimal places. 2. **Conclusion Based on 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 win the award compared to actors.
Transcribed Image Text:### Analysis of Award Winners' Ages 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. | Actress (years) | 30 | 25 | 28 | 31 | 37 | 23 | 29 | 37 | 27 | 31 | |----------------|----|----|----|----|----|----|----|----|----|----| | Actor (years) | 68 | 34 | 32 | 34 | 28 | 35 | 52 | 38 | 38 | 45 | --- #### Hypothesis Testing 1. **P-value Calculation:** - It is crucial to calculate the P-value and round it to three decimal places. 2. **Conclusion Based on 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 win the award compared to actors.
The image presents data comparing the ages of actresses and actors when they received awards in their respective categories—Best Actress and Best Actor. The ages are matched based on the year the awards were presented. **Data:** - **Actress Ages (years):** 30, 25, 28, 31, 37, 23, 29, 37, 27, 31 - **Actor Ages (years):** 68, 34, 32, 34, 28, 35, 52, 38, 38, 45 **Tasks:** - **Identify the test statistic** using the data provided. The answer should be rounded to two decimal places as needed. - **Identify the P-value**, rounded to three decimal places as needed. No graphs or diagrams are included in the image.
Transcribed Image Text:The image presents data comparing the ages of actresses and actors when they received awards in their respective categories—Best Actress and Best Actor. The ages are matched based on the year the awards were presented. **Data:** - **Actress Ages (years):** 30, 25, 28, 31, 37, 23, 29, 37, 27, 31 - **Actor Ages (years):** 68, 34, 32, 34, 28, 35, 52, 38, 38, 45 **Tasks:** - **Identify the test statistic** using the data provided. The answer should be rounded to two decimal places as needed. - **Identify the P-value**, rounded to three decimal places as needed. No graphs or diagrams are included in the image.
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