A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's phySical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d = (number of sit-ups that can be done after taking the course)-(number of sit-ups that can be done prior to taking the course) . Use a significance level of a = 0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 38 40 48 39 22 40 34| 23 41 28 Sit-ups after 52 50 58 43 29 53 51 34 53 41 Copy Data Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Step 1 of 5:State the null and alternative hypotheses for the test.

Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to two decimal places.

Step 3 of 5:Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5: Find the p-value for the hypothesis test. Round your answer to four decimal places.

Step 5 of 5: Draw a conclusion for the hypothesis test.

fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups
that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results
are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement?
Let d = (number of sit-ups that can be done after taking the course)-(number of sit-ups that can be done prior to taking the course) . Use a significance level of
a = 0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course.
%3D
Sit-ups before
38 40 48 39
23 41
28
Sit-ups after
52 | 50
58 | 43
29 53
51
34
53
41
Copy Data
Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
Transcribed Image Text:fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d = (number of sit-ups that can be done after taking the course)-(number of sit-ups that can be done prior to taking the course) . Use a significance level of a = 0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. %3D Sit-ups before 38 40 48 39 23 41 28 Sit-ups after 52 | 50 58 | 43 29 53 51 34 53 41 Copy Data Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
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