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Suppose that in Exercise 6.3.3 we had observed only one mark and that it was 52. Assess the…

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Suppose that in Exercise 6.3.3 we had observed only one mark and that it was 52. Assess the hypothesis H0 : µ = 60 by computing the relevant P-value and compute a 0.95-confidence interval for the unknown E Is it possible to compute a P-value and construct a 0.95-confidence interval for E without the assumption that we know the population variance? Explain your answer and, if your answer is no, determine the minimum sample size n for which inference is possible without the assumption that the population variance is known