a. Use a 0.10 significance level to test the claim that Oscar-winning actresses tend to be younger than Oscar-winning actors. In this example, " 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 actor's age minus the actress's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Hd #₁: Ha years years Type integers or decimals. Do not round.) dentify the test statistic. =(Round to two decimal places as needed.) identify the P-value. P-value = (Round to three decimal places a needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There sufficient evidence to support the claim that Oscar-winning actresses tend to be younger than Oscar-winning actors. b. 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)< < year(s). (Type integers or decimals rounded to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Because the confidence interval includes H₂-
a. Use a 0.10 significance level to test the claim that Oscar-winning actresses tend to be younger than Oscar-winning actors. In this example, " 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 actor's age minus the actress's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Hd #₁: Ha years years Type integers or decimals. Do not round.) dentify the test statistic. =(Round to two decimal places as needed.) identify the P-value. P-value = (Round to three decimal places a needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There sufficient evidence to support the claim that Oscar-winning actresses tend to be younger than Oscar-winning actors. b. 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)< < year(s). (Type integers or decimals rounded to one decimal place as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Because the confidence interval includes H₂-
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
Actress Actor
24 40
43 44
49 32
63 52
40 49
61 36
22 55
35 41
41 38
35 29
30 38
25 42
33 52
22 44
46 39
33 39
45 60
41 39
27 48
25 40
27 52
31 47
80 32
28 41
54 51
33 42
61 45
38 43
35 62
39 45
32 41
39 35
21 62
44 44
33 38
36 60
28 43
26 34
35 45
35 37
37 41
41 41
50 53
29 50
30 49
37 49
33 36
27 41
38 37
42 42
60 59
24 35
31 36
32 50
25 56
34 43
34 60
26 34
29 47
41 43
54 33
29 42
32 30
30 37
29 32
60 42
45 38
28 62
28 44
38 45
62 39
35 57
42 56
![Listed in the accompanying table are 73 ages of actresses and actors when they won Academy Awards for their performances. Each pair of ages is from the same year. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) and (b).
[Click the icon to view the Academy Award ages.]
---
a. Use a 0.10 significance level to test the claim that Oscar-winning actresses tend to be younger than Oscar-winning actors.
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 actor's age minus the actress's age. What are the null and alternative hypotheses for the hypothesis test?
- \( H_0: \mu_d = \# \) years
- \( H_1: \mu_d \) \( \Box \) \( \# \) years
(Type integers or decimals. Do not round.)
Identify the test statistic.
- \( t = \) (Round to two decimal places as needed.)
Identify the P-value.
- P-value = \( \Box \) (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is \( \Box \) the significance level, \( \Box \) the null hypothesis. There \( \Box \) sufficient evidence to support the claim that Oscar-winning actresses tend to be younger than Oscar-winning actors.
---
b. Construct the confidence interval that would 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 \( \Box \) year(s) < \( \mu_d \) < \( \Box \) year(s).
(Type integers or decimals rounded to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Because the confidence interval includes \( \Box \), \( \Box \) \( H_0 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F380d9f31-f164-4bec-9918-398c63ccd8d5%2F24b09374-340a-4a15-ab7c-9b8c1866c480%2F2cckm5n_processed.png&w=3840&q=75)
Transcribed Image Text:Listed in the accompanying table are 73 ages of actresses and actors when they won Academy Awards for their performances. Each pair of ages is from the same year. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) and (b).
[Click the icon to view the Academy Award ages.]
---
a. Use a 0.10 significance level to test the claim that Oscar-winning actresses tend to be younger than Oscar-winning actors.
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 actor's age minus the actress's age. What are the null and alternative hypotheses for the hypothesis test?
- \( H_0: \mu_d = \# \) years
- \( H_1: \mu_d \) \( \Box \) \( \# \) years
(Type integers or decimals. Do not round.)
Identify the test statistic.
- \( t = \) (Round to two decimal places as needed.)
Identify the P-value.
- P-value = \( \Box \) (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is \( \Box \) the significance level, \( \Box \) the null hypothesis. There \( \Box \) sufficient evidence to support the claim that Oscar-winning actresses tend to be younger than Oscar-winning actors.
---
b. Construct the confidence interval that would 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 \( \Box \) year(s) < \( \mu_d \) < \( \Box \) year(s).
(Type integers or decimals rounded to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Because the confidence interval includes \( \Box \), \( \Box \) \( H_0 \).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
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