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A sample of size 13, taken from a normally distributed population has a sample mean of 51.21 and a sample standard deviation of 9.20. Suppose that we have adopted the null hypothesis that the actual population mean is greater than or equal to 58, that is, H0 is that μ ≥ 58 and we want to test the alternative hypothesis, H1, that μ < 58, with level of significance α = 0.1.
a) What type of test would be appropriate in this situation? A right-tailed test.A left-tailed test.A two-tailed testNone of the above.
b) What is the critical value? (for a two-tailed test give the positive value) For full marks your answer should be accurate to at least two decimal places.
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