Question

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(1 point) A random sample of 100 observations from a population with standard deviation 13.83 yielded a sample mean of 92.3. Given that the null hypothesis is u = 90 and the alternative hypothesis is u > 90 using a = .05, find the following: (a) Test statistic: (b) P-value: DOO The conclusion for this test is: A. Reject the null hypothesis B. There is insufficient evidence to reject the null hypothesis C. None of the above
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Answer 1

n=100 a = 13.83 - 92-3 i) Ho: M=90 Hai M> qo Significance level X-M 2 = 1.663 Von (92-3-90) (a) The test stet stic 13.83 Vio (b) the p-ralue = 10.0482 Ga) Conclusion. Reject the hull hypothesis option A (10) na 100 ==11.82 5-92.2 11.861 Ho: M=90 Hail >90 2-.05 Siquiticance level (a) Test statistic (2) = -1 (b) P-value (0.0314 Reject the hall hypothesis 92290 11.82 Vloo