Make the decision for the hypothesis test. Reject null hypothesis Fail to reject null hypothesis 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, thenumber of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected toparticipate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physicalfitness 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 asignificance level of a = 0.01 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and aftertaking the fitness course.Sit-ups before43373142302552353341Sit-ups after54513952393054464943Copy DataStep 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places.Answer(How to Enter) 2 Points画 Tables国 KeypadKeyboard Shortcutsest/TestTakeTest#! Ing 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, thenumber of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected toparticipate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physicalfitness 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 asignificance level of a = 0.01 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and aftertaking the fitness course.Sit-ups before43373142302552353341Sit-ups after54513952393054464943Copy DataStep 4 of 5: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to three decimal places.Prev国 Tables国 KeypadAnswer 2 PointsKeyboard ShortcutsReject Ho ifning.com/Portal/Test/TestTake Test#!

To test:H0:μd=0H0:μd<0 where μd=μ1-μ2Now, x y d=x-y d-d (d-d)2 43 54 -11 -2.2 4.84 37 51 -14 -5.2 27.04 31 39 -8 0.8 0.64 42 52 -10 -1.2 1.44 30 39 -9 -0.2 0.04 25 30 -5 3.8 14.44 52 54 -2 6.8 46.24 35 46 -11 -2.2 4.84 33 49 -16 -7.2 51.84 41 43 -2 6.8 46.24 Total -88 197.6 whered=∑dn=-8810=-8.8 Then,sd=∑d-d2n-1=197.610-1=21.9556=4.6857The test statistic isz=dsd/n=-8.84.6857/10=-8.81.4817=-5.939The degree of freedom=n-1=10-1=9 Then, at α=0.01, the critical value is 2.821. Decision Rule: Reject H0 if t>2.821. Since, t>2.821, reject H0.

Math

Statistics

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 = 0.01 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 43 37 31 42 30 25 52 35 33 41 Sit-ups after 54 51 39 52 39 30 54 46 49 43 Copy Data Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places. E Keypad Keyboard Shortcut Answer(How to Enter) 2 Points 曲 Tables

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 = 0.01 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 43 37 31 42 30 25 52 35 33 41 Sit-ups after 54 51 39 52 39 30 54 46 49 43 Copy Data Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places. E Keypad Keyboard Shortcut Answer(How to Enter) 2 Points 曲 Tables

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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