Con?dence interval estimate for the population mean

Reference no: EM131002690

1. A random sample of size n = 16 drawn from a normal population with hy- pothesized mean μ0 = 50 and known variance, σ2 = 25, produced a sample average x¯ = 47.5.

(i) Compute the appropriate test statistic.

(ii) If the alternative hypothesis is Ha : μ <>0 , at the α = 0.1 signi?cance level, determine the rejection region. Should the null hypothesis H0 : μ = μ0 be rejected?

2. Refer to Exercise 15.9. Determine the 95% con?dence interval estimate for the population mean and compare it with the hypothesized mean. What does this imply about whether or not the null hypothesis H0 : μ = μ0 should be rejected at the α = 0.05 level? Determine the p-value associated with this test.

Reference no: EM131002690

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