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(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 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. 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. (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 of 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 8.84 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.

(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 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. 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. (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 of 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 8.84 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.

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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(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 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. 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 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. (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 of 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 8.84 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:(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 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. 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 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. (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 of 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 8.84 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.
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 8.84 degrees. Assume that it is reasonable to regard this sample of 23 people as representative of the population of computer users. USE 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 µ = µÅ — 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 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 H₂. 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. O Reject H₂. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B.
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 8.84 degrees. Assume that it is reasonable to regard this sample of 23 people as representative of the population of computer users. USE 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 µ = µÅ — 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 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 H₂. 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. O Reject H₂. We do not have convincing evidence that the mean wrist extension for mouse type A is greater than for mouse type B.
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