What is the standard error of the mean, Basic Statistics

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What is the standard error of the mean

Assignment:

Suppose that you are testing the hypotheses H₀: μ=13 vs. H_A: μ > 13. A sample of size 16 results in a sample mean of 13.5 and a sample standard deviation of 1.8.

a) What is the standard error of the mean?

b) What is the critical value of t* for a 90% confidence interval?

c) Construct a 90% confidence interval for μ.

d) Based on the confidence interval, at α = 0.05 can you reject H_o? Explain.

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