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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 39 37 50 39 23 33 51 45 32 36 Sit-ups after 43 46 60 48 36 40 58 56 49 40 Copy Data tep 1 of 5: State the null and alternative hypotheses for the test.

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 39 37 50 39 23 33 51 45 32 36 Sit-ups after 43 46 60 48 36 40 58 56 49 40 Copy Data tep 1 of 5: State the null and alternative hypotheses for the test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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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 39 37 50 39 23 33 51 45 32 36 Sit-ups after 43 46 60 48 36 40 58 56 49 40 Copy Data tep 1 of 5: State the null and alternative hypotheses for the test.
Transcribed Image Text: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 39 37 50 39 23 33 51 45 32 36 Sit-ups after 43 46 60 48 36 40 58 56 49 40 Copy Data tep 1 of 5: State the null and alternative hypotheses for the test.
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 one decimal place. Step 3 of 5:Compute the value of the test statistic. Round your answer to three decimal places Step 4 of 5:Determine the decision rule for rejecting the null hypothesis HO . Round the numerical portion of your answer to three decimal places. Step 5 of 5: Make the decision for the hypothesis test. (accept or reject null)
Transcribed Image Text: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 one decimal place. Step 3 of 5:Compute the value of the test statistic. Round your answer to three decimal places Step 4 of 5:Determine the decision rule for rejecting the null hypothesis HO . Round the numerical portion of your answer to three decimal places. Step 5 of 5: Make the decision for the hypothesis test. (accept or reject null)
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