Score: 0.25 of 1 pt 11 of 20 (17 complete) Y HW Score: 73.33%, 14.67 of 20 pts 8

Question

Score: 0.25 of 1 pt 11 of 20 (17 complete) Y HW Score: 73.33%, 14.67 of 20 pts 8.4.17 Question Help IE For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts ad. Claim: The mean lQ score of statistics professors is less than 119 Sample data: n 29, x 116, s 13. The significance level is a 0.05. Click the icon to view a table of criticalt-values. a. Choose the correct null hypothesis (Ho) and alternative hypothesis (H1). O A. Ho: H 119 H1: 119 O B. Ho: H 119 H1: H 119 c. Ho: 119 H1: 119 O D. Ho: HE119 H1: 119 b, Determine the test statistic t t- (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. parts Clear All Check Answer remaining

Explanation / Answer

8.4.17)

std error of mean =s/(n)1/2 =2.414

hence test stat t=(X-mean)/std error =(116-119)/2.414 =-1.2427

8.4.19)

8.4.22)

8.4.23)

X 780 733 1280 634 632 567 mean(X) 771.000 std deviation(S) 260.888 std error =S/(n)1/2 106.507 t=(X-1000)/std error -2.1501

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