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For the folowing 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 a-d. Claim: The mean IQ score of statistics professors is less than 119. Sample data: n 11, x 117, s 14. The significance level is ?-005 Click the icon to view a table of critical t-values. a. Choose the correct null hypothesis (Ho) and altenative hypothesis (H) OA.Ho ?<119 OB.Ho ? < 119 H:P119 H1??-119 C. Ho . ?-119 H1:?<119 OD.H0 ?? 119 H1 : ?#119 b. Determine the test statistic t (Round to three decimal places as needed.) c. Find the critical value using a t-distribution table The critical value is(Round to three decimal places as needed) d. What is the conclusion? O A. Reject the null hypothesis and do not support the claim that ? < 119. O B. Fail to reject the null hypothesis and do not support the claim that ? ° C. Fail to reject the null hypothesis and support the claim that ?< 119 O D. Reject the null hypothesis and support the claim that <119 119

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