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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?
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
c) What is the computed test statistic?
For full marks your answer should be accurate to at least two decimal places
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