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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Looking at the data. Answer the questions
![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:**
\[ \text{P-value = \,\, (Round to three decimal places as needed.)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe983b18-ee33-44db-82aa-7c6bfcc1e549%2Ffde6bea3-8b9f-468a-889e-6f8d5321f035%2F73q3jd8_processed.jpeg&w=3840&q=75)
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:**
\[ \text{P-value = \,\, (Round to three decimal places as needed.)} \]
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman