Question

A sample of size 100, taken from a population whose standard deviation is known to be 8.90, has a sample mean of 51.16. Suppose that we have adopted the null hypothesis that the actual population mean is greater than or equal to 52, that is, H0 is that μ ≥ 52 and we want to test the alternative hypothesis, H1, that μ < 52, with level of significance α = 0.05. a) What type of test would be appropriate in this situation? A right-tailed test. A left-tailed test. A two-tailed test None of the above. b) What is the computed p-value? For full marks your answer should be accurate to at least three decimal places. c) Based on your p-value and the decision rule you have decided upon, what can we conclude about H0? There is sufficient evidence, at the given significance level, to reject H0. There is insufficient evidence, at the given significance level, to reject H0; or we fail to reject H0. There is insufficient evidence to make it clear as to whether we should reject or not reject the null hypothesis

Answer 1