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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? O A. Ho Hd=0 H₁ Hg <0 O C. Ho Hd #0 H₁ Hd O Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value P-value = (Round to three decimal places as needed.) OB. Ho Hd #0 H₁ Hd=0 O D. Ho Hd=0 H₁ H 0

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? O A. Ho Hd=0 H₁ Hg <0 O C. Ho Hd #0 H₁ Hd O Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value P-value = (Round to three decimal places as needed.) OB. Ho Hd #0 H₁ Hd=0 O D. Ho Hd=0 H₁ H 0

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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In this example, \( \mu_d \) 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? **Options:** - **A.** \[ H_0: \mu_d = 0 \\ H_1: \mu_d < 0 \] - **B.** \[ H_0: \mu_d \neq 0 \\ H_1: \mu_d = 0 \] - **C.** \[ H_0: \mu_d \neq 0 \\ H_1: \mu_d > 0 \] - **D.** \[ H_0: \mu_d = 0 \\ H_1: \mu_d \neq 0 \] **Identify the test statistic:** \[ t = \,\, \text{(Round to two decimal places as needed.)} \] **Identify the P-value:** \[ \text{P-value = \,\, (Round to three decimal places as needed.)} \]
Transcribed Image Text:In this example, \( \mu_d \) 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? **Options:** - **A.** \[ H_0: \mu_d = 0 \\ H_1: \mu_d < 0 \] - **B.** \[ H_0: \mu_d \neq 0 \\ H_1: \mu_d = 0 \] - **C.** \[ H_0: \mu_d \neq 0 \\ H_1: \mu_d > 0 \] - **D.** \[ H_0: \mu_d = 0 \\ H_1: \mu_d \neq 0 \] **Identify the test statistic:** \[ t = \,\, \text{(Round to two decimal places as needed.)} \] **Identify the P-value:** \[ \text{P-value = \,\, (Round to three decimal places as needed.)} \]
### Award Age Analysis: Best Actress and Best Actor **Objective:** The aim is to test for a difference between the ages of actresses and actors when they win awards in the categories of Best Actress and Best Actor. The test is conducted using a 0.05 significance level. It assumes that the paired sample data is a simple random sample and that the differences are approximately normally distributed. **Data:** - **Ages of Actresses:** - 20 - 29 - 24 - 59 - 26 - **Ages of Actors:** - 45 - 45 - 60 - 53 - 44 **Analysis Approach:** The analysis involves comparing the paired samples of ages to determine if there is a statistically significant difference between the ages at which actresses and actors win the awards. The use of a 0.05 significance level indicates a 5% risk of concluding that a difference exists when there is no actual difference. **Assumptions:** - The sample is a simple random sample. - The differences between paired samples are approximately normally distributed. This setup is used for a paired sample t-test to evaluate the hypothesis regarding the age differences between the two groups.
Transcribed Image Text:### Award Age Analysis: Best Actress and Best Actor **Objective:** The aim is to test for a difference between the ages of actresses and actors when they win awards in the categories of Best Actress and Best Actor. The test is conducted using a 0.05 significance level. It assumes that the paired sample data is a simple random sample and that the differences are approximately normally distributed. **Data:** - **Ages of Actresses:** - 20 - 29 - 24 - 59 - 26 - **Ages of Actors:** - 45 - 45 - 60 - 53 - 44 **Analysis Approach:** The analysis involves comparing the paired samples of ages to determine if there is a statistically significant difference between the ages at which actresses and actors win the awards. The use of a 0.05 significance level indicates a 5% risk of concluding that a difference exists when there is no actual difference. **Assumptions:** - The sample is a simple random sample. - The differences between paired samples are approximately normally distributed. This setup is used for a paired sample t-test to evaluate the hypothesis regarding the age differences between the two groups.
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