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(1 point A random sample of 100 observations from a population with standard dev

ID: 3228266 • Letter: #

Question

(1 point A random sample of 100 observations from a population with standard deviation 21.58 yielded a sample mean of 94. 1. Given that the null hypothesis is Au 90 and the alternative hypothesis is Au 90 using a 05, find the following (a) Test statistic I 1.853568 (b) P value: 0.0322 (c) The conclusion for this test is: O A. Reject the null hypothesis B. There is insufficient evidence to reject the null hypothesis C. None of the above 2. Given that the null hypothesis is Au 90 and the alternative hypothesis is u 90 using a 05, find the following (a) Test statistic 1.853568 (b) P value: (c) The conclusion for this test is: A. Reject the null hypothesis O B. There is insufficient evidence to reject the null hypothesis C. None of the above

Explanation / Answer

Part 2b> Since it is a two-sided test, p-value = 2 * P ( T > 1.853568) , where T follows t-distribution with d.f. = n-1, where n = 100. So p-value = 0.067. (Ans).