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1. Suppose you draw a random sample from a population with a mean of 6 and a variance of 9. What is the standard error of the sample mean if the sample size is 49?
The answer is 0.4286
2. Suppose you didn't know the population mean in variance from question 1, but the sample had mean 7 and variance 10. What is the estimated standard error of the sample mean?
The answer is 0.4518
3. If you hypothesized that the mean of the population from which you drew the sample in question 2 was 8, what is the z-score of the sample mean?
4. If the central limit theorem applies, what is the estimated p-value of the result found in question 3? (Use two sided test)
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