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Question 6 of 11 Step 1 of 4 01:24:24 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. Using this data, find the 95% confidence interval for the true difference in the number of sit-ups each person can do before and after the course. Assume that the numbers of sit-ups are normally distributed for the population both before and after completing the course. Sit-ups before 27 40 41 39 36 54 34 41 30 31 Sit-ups after 43 47 50 44 41 56 40 55 34 49 Copy Data Step 1 of 4: Find the point estimate for the population mean of the paired differences. Let x, be the number of sit-ups before taking the course and X2 be the number of sit-ups after taking the course and use the formula d = x2 - xy to calculate the paired differences. Round your answer to one decimal place. Answer/How to Enter) 2 Points Keypad Hawkes Learning

Answer 1

ulation of differences Solution Let ud apply paired test, O Let M be the mean of population of ditt :) Null hy potheoto CHO :- There 180 no signiticano CHect of physical abithy MENE Q) Alternative hypothedid (H) : Mpt Me 3) level of dignificance ()=0.05 y computations- Difference dil'(ne-xx)= aftur-betore (16,7,9,595,96; 14,4,18) Toto dia 88 = 8:6 n-io. sts cdi-J) = (616-8517 (7-8147 (704) 465816)7 (5-81657 (2-.6)(6-7.657Ctu*iff* +(9-606) 7 (18~4.6)]. s - 27244 → S=s? = 1 2724 © Standard deviation Ŝ= 16.904544. 5) Test dea&tic ! 10 16.50 10 ist = 16477 Tabulated toos with 10-1=9. degree of freedom to 1583 since calculated t< tabulated 'E', dowe accept the hull hypothesis (Ho).

Sampie diać in) =10, 2=9.6, 5= 16.504544 Margin of error = 22/S ZXl2 for ggf. confidence interval = 1.96 © Marigin of error F - 1.96 x 16.904944 = 10.92 u @ ) confidence interval= (utzip (8.6-10. aa , 816 +16-22).*. :) pic(-1.62, 18:82) V
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