CeS PUI 2 Popu. Mean Save m Score: O of 1 pt 4018(4 complete) HW Score: 39.38%,

Question

CeS PUI 2 Popu. Mean Save m Score: O of 1 pt 4018(4 complete) HW Score: 39.38%, 3.15 of 8 pts 10.5.151 Question Help * The null hypothesis is -uzand the a ernative hypothesis isas specified The provided data are from a simple random paired sample from the two populations under consideration. Use the paired t test to perform the required hypothests test at Pair Population 1 Population 2 the 10% significance level Observations from 18 26 12 16 13 21 EE Click the icon to view the Hable 18 15 14 18 20 20 Find the test statistic. Use population 1-population 2 as the difterence t- 0.088 (Round to three decimal places as needed ) Find the critical value(s). The critical value(s) is/are-1.895 (Round to three decimal places as u Use a comma to separate answers as needed) Enter your answer in the answer box and then click Check Answer Final Check Clear All part remaining 78

Explanation / Answer

the paired t-statistic is defined as t=d-/(sd/sqrt(n))=0.125/(4.0156/sqrt(8))=0.088 with n-1=8-1=7df

the alternate hypothesis is one-tailed , so one tailed critical t(0.1,7)=1.415 ( using standard reference book)

since critical t =1.415 is more than calculate t=0.088, so we fail to reject H0 i.e. accept H0.

following information has been generated using ms-excel

population 1 population 2 difference =d 22 18 4 25 26 -1 13 12 1 21 16 5 6 3 3 18 18 0 15 20 -5 14 20 -6 mean= 0.1250 sd= 4.0156

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