Manual Dexterity Differences A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of band members. Two random samples of 23 are selected from each group and are given a manual dexterity test. The mean of the athletes' test was 85, and the mean of the band members' test was 92. The population standard deviation for the test is 7.6. Use µ, for the mean of the athletes' test. At a= 0.01, is there a significant difference in the mean scores? Use the critical value method and tables. Part: 0/ 5 Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: |(Choose one) ▼ H : (Choose one) ▼ This hypothesis test is a (Choose one) v test.
Manual Dexterity Differences A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of band members. Two random samples of 23 are selected from each group and are given a manual dexterity test. The mean of the athletes' test was 85, and the mean of the band members' test was 92. The population standard deviation for the test is 7.6. Use µ, for the mean of the athletes' test. At a= 0.01, is there a significant difference in the mean scores? Use the critical value method and tables. Part: 0/ 5 Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: |(Choose one) ▼ H : (Choose one) ▼ This hypothesis test is a (Choose one) v test.
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
The first pic is the question. Since some tutors have been solving the problems wrong recently (no judgment), I’ve added a sample question to solve problem.
![Sample Question
Manual Dexterity Differences A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of band members. Two random samples of 35 are
selected from each group and are given a manual dexterity test. The mean of the athletes' test was 87, and the mean of the band members' test was 86. The population standard
deviation for the test is 7.6. Use u, for the mean of the athletes' test. At a = 0.10, is there a significant difference in the mean scores? Use the critical value method and tables.
(a) State the hypotheses and identify the claim.
(b) Find the critical values.
(c) Compute the test value.
(d) Make the decision.
(e) Summarize the results.
Explanation
(a) State the hypotheses and identify the claim.
The null hypothesis is the statement that there is no difference between the means. This is equivalent to H: H, =H,.
The alternative hypothesis is the statement that there is a difference between the means. The mean manual dexterity test scores of athletes and band members are different. This is
equivalent to I,: -
The problem asks, "Are the mean manual dexterity test scores of athletes and band members different?" Hence, the claim is the alternative hypothesis.
(b) Find the critical values.
From the figure, for a two-tailed test with a= 0.10, the critical values are z=±1.65.
a= 0.10, C.V.=±1.65
a= 0.05, C.V.=±1.96
a=0.01, C.V. =±2,58
(c) Compute the test value.
Using the formula for the z test for comparing two means from independent populations, compute the test value:
(X,- X,)- (H1 - H2)
(87 - 86) – 0
%3D
7.6. 7.6
35
35
- 0.55
Hence, the test value rounded to 2 decimal places is z= 0.55.
(d) Make the decision.
Since the test value does not fall in the critical region, do not reject the null hypothesis.
- 1.65
0 0,55
1.65
(e) Summarize the results.
Since the null hypothesis was not rejected, there is not enough evidence to support the claim that the mean manual dexterity test scores of athletes and band members are different.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd74823-85a4-4e17-8104-3bda7cea3b95%2F84892e49-9c77-48e5-b77e-ffb8037bffaa%2F4fj6ekb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sample Question
Manual Dexterity Differences A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of band members. Two random samples of 35 are
selected from each group and are given a manual dexterity test. The mean of the athletes' test was 87, and the mean of the band members' test was 86. The population standard
deviation for the test is 7.6. Use u, for the mean of the athletes' test. At a = 0.10, is there a significant difference in the mean scores? Use the critical value method and tables.
(a) State the hypotheses and identify the claim.
(b) Find the critical values.
(c) Compute the test value.
(d) Make the decision.
(e) Summarize the results.
Explanation
(a) State the hypotheses and identify the claim.
The null hypothesis is the statement that there is no difference between the means. This is equivalent to H: H, =H,.
The alternative hypothesis is the statement that there is a difference between the means. The mean manual dexterity test scores of athletes and band members are different. This is
equivalent to I,: -
The problem asks, "Are the mean manual dexterity test scores of athletes and band members different?" Hence, the claim is the alternative hypothesis.
(b) Find the critical values.
From the figure, for a two-tailed test with a= 0.10, the critical values are z=±1.65.
a= 0.10, C.V.=±1.65
a= 0.05, C.V.=±1.96
a=0.01, C.V. =±2,58
(c) Compute the test value.
Using the formula for the z test for comparing two means from independent populations, compute the test value:
(X,- X,)- (H1 - H2)
(87 - 86) – 0
%3D
7.6. 7.6
35
35
- 0.55
Hence, the test value rounded to 2 decimal places is z= 0.55.
(d) Make the decision.
Since the test value does not fall in the critical region, do not reject the null hypothesis.
- 1.65
0 0,55
1.65
(e) Summarize the results.
Since the null hypothesis was not rejected, there is not enough evidence to support the claim that the mean manual dexterity test scores of athletes and band members are different.
![Manual Dexterity Differences A researcher wishes to see if there is a difference in the manual dexterity of
athletes and that of band members. Two random samples of 23 are selected from each group and are given a
manual dexterity test. The mean of the athletes' test was 85, and the mean of the band members' test was 92.
The population standard deviation for the test is 7.6. Use µ, for the mean of the athletes' test. At a=0.01, is there
a significant difference in the mean scores? Use the critical value method and tables.
Part: 0 / 5
Part 1 of 5
(a) State the hypotheses and identify the claim.
Ho: (Choose one)
H:
(Choose one) ▼
This hypothesis test is a (Choose one) ▼ test.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd74823-85a4-4e17-8104-3bda7cea3b95%2F84892e49-9c77-48e5-b77e-ffb8037bffaa%2Fs9eflj7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Manual Dexterity Differences A researcher wishes to see if there is a difference in the manual dexterity of
athletes and that of band members. Two random samples of 23 are selected from each group and are given a
manual dexterity test. The mean of the athletes' test was 85, and the mean of the band members' test was 92.
The population standard deviation for the test is 7.6. Use µ, for the mean of the athletes' test. At a=0.01, is there
a significant difference in the mean scores? Use the critical value method and tables.
Part: 0 / 5
Part 1 of 5
(a) State the hypotheses and identify the claim.
Ho: (Choose one)
H:
(Choose one) ▼
This hypothesis test is a (Choose one) ▼ test.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman