a) If X..... X are a random sample from a normal population with population variance ...

 

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a) If X₁..... X are a random sample from a normal population with population variance ² then we know that the sampling distribution of the sample variance S2 is such that (n-1)S² 02 (i) Suppose that, for a specified value of do, we wish to test the hypotheses Hoo V Ha: >00 Use the distribution of W to derive the rejection region for a test of these hypotheses with significance level a. W = ~ X₁-1 (ii) Suppose that a sample of size n = 10 from a normal population results in an ob- served s = 2.85. Does this provide sufficient evidence at the 5% level of significance that the true population standard deviation is greater than 2? a) If X₁..... X are a random sample from a normal population with population variance ² then we know that the sampling distribution of the sample variance S2 is such that (n-1)S² 02 (i) Suppose that, for a specified value of do, we wish to test the hypotheses Hoo V Ha: >00 Use the distribution of W to derive the rejection region for a test of these hypotheses with significance level a. W = ~ X₁-1 (ii) Suppose that a sample of size n = 10 from a normal population results in an ob- served s = 2.85. Does this provide sufficient evidence at the 5% level of significance that the true population standard deviation is greater than 2?