Sampling Distribution and Hypothesis Testing Questions

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Nwvzna19

Mathematics

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The population distribution is NO, 92). 1. Compute the sampling distribution of the sample mean when the sample size is 36 and 81. 2. Compute the expected value and the variance of the sampling distribution of the sample variance when the sample size is 36 and 81. 3. Consider 100 samples whose sizes are 36. Suppose you test the following hypotheses at the 5% significance level. In how many samples do you reject the null hypothesis? How about at the 1% significance level? HO: u = 0, H1: P = 0 4. Consider 100 samples whose sizes are 81. Suppose you test the following hypotheses at the 5% significance level. In how many samples do you commit a Type I error? How about at the 1% significance level? HO: H = 0, H1: H = 0
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Sampling distributions
1.
Sampling distribution of the sample mean ̴ N(u, σ2/n)
For n=36
The sampling distribution ̴ N(0, 92/36)
The sampling distribution ̴ N(0, 2.2...


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