The following numbers constitute a random sample from a normal distribution with an unknown mean and...

The following numbers constitute a random sample from a normal distribution with an unknown mean and unknown variance σ 2 1 : 15.0 19.1 16.6 20.4 13.5 (a) Test at the 5% significance level H0 : µ = 15 against Ha : µ > 15. Again, do the problem in two ways- first by obtaining the rejection region and second, by using the p-value. (b) Suppose we have another random sample from a normal distribution with an unknown mean and unknown variance σ 2 2 : 13.0 19.4 18 20.2 Test H0 : σ 2 1 = σ 2 2 against Ha : σ 2 1 6= σ 2 2 at the 10% significance level.

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orchestra answered 1 year ago

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