Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose two proposed computer mouse designs were compared by recording wrist extension in degrees for 23 people who each used both mouse types. The difference in wrist extension was calculated by subtracting extension for mouse typ rom the wrist extension for mouse type A for each student. The mean difference was reported to be 8.71 degrees. Assume that it is reasonable to regard this sample of 23 people as representative of the population of computer users. LAUSE SALT (a) Suppose that the standard deviation of the differences was 10 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level. (Use HHAHB.) Find the test statistic. (Round your answer to two decimal places.) Find the df. df= Use technology to find the P-value. (Round your answer to four decimal places.) P-value= State your conclusion. O Fail to reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Fail to reject H. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. (b) Suppose that the standard deviation of the differences was 26 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level. (Use #d=HA-HB.) Find the test statistic. (Round your answer to two decimal places.) Find the df. df=

Suppose two proposed computer mouse designs were compared by recording wrist extension in degrees for 23 people who each used both mouse types. The difference in wrist extension was calculated by subtracting extension for mouse typ rom the wrist extension for mouse type A for each student. The mean difference was reported to be 8.71 degrees. Assume that it is reasonable to regard this sample of 23 people as representative of the population of computer users. LAUSE SALT (a) Suppose that the standard deviation of the differences was 10 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level. (Use HHAHB.) Find the test statistic. (Round your answer to two decimal places.) Find the df. df= Use technology to find the P-value. (Round your answer to four decimal places.) P-value= State your conclusion. O Fail to reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Fail to reject H. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. (b) Suppose that the standard deviation of the differences was 26 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level. (Use #d=HA-HB.) Find the test statistic. (Round your answer to two decimal places.) Find the df. df=

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
See similar textbooks
icon
Related questions
Question
Suppose two proposed computer mouse designs were compared by recording wrist extension in degrees for 23 people who each used both mouse types. The difference in wrist extension was calculated by subtracting extension for mouse type B from the wrist extension for mouse type A for each student. The mean difference was reported to be 8.71 degrees. Assume that it is reasonable to regard this sample of 23 people as representative of the population of computer users. (a) Suppose that the standard deviation of the differences was 10 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level. (Use μ = μA - MB.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. df = USE SALT Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Fail to reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Fail to reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. (b) Suppose that the standard deviation of the differences was 26 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level. (Use μ = μA - MB.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Fail to reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. Reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Fail to reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. (c) Briefly explain why different conclusions were reached in the hypothesis tests of part (a) and part (b). A lower standard deviation in the sample of differences means that we have a ---Select--- ✓ estimate the standard deviation of the population of differences. Assuming that the mean wrist extensions for the two mouse types are the same, a sample mean difference of as much as 8.71 is ---Select--- likely when the standard deviation of the population of differences is around 10 than when the standard deviation of the population of differences is around 26.
Transcribed Image Text:Suppose two proposed computer mouse designs were compared by recording wrist extension in degrees for 23 people who each used both mouse types. The difference in wrist extension was calculated by subtracting extension for mouse type B from the wrist extension for mouse type A for each student. The mean difference was reported to be 8.71 degrees. Assume that it is reasonable to regard this sample of 23 people as representative of the population of computer users. (a) Suppose that the standard deviation of the differences was 10 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level. (Use μ = μA - MB.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. df = USE SALT Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Fail to reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Fail to reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. (b) Suppose that the standard deviation of the differences was 26 degrees. Is there convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B? Use a 0.05 significance level. (Use μ = μA - MB.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Fail to reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Reject Ho. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. Reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. O Fail to reject Ho. We have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B. (c) Briefly explain why different conclusions were reached in the hypothesis tests of part (a) and part (b). A lower standard deviation in the sample of differences means that we have a ---Select--- ✓ estimate the standard deviation of the population of differences. Assuming that the mean wrist extensions for the two mouse types are the same, a sample mean difference of as much as 8.71 is ---Select--- likely when the standard deviation of the population of differences is around 10 than when the standard deviation of the population of differences is around 26.
Expert Solution
steps

Step by step

Solved in 4 steps with 19 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS