Chapter 11

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Chapter 11: HYPOTHESIS TESTING April 4, 2022 Arsena Gjipali, PhD
Inference for the Mean of a Population Use of the sample mean ( ) → esƟmate of the unknown μ: - Confidence intervals - Tests of significance (test statistics & p -value) x - Tests of significance (test statistics & p -value) If σ (population standard deviation) is unknown: - Use sample standard deviation s as estimate for σ
t -distributions Suppose that we have a simple random sample (SRS) of size n from a Normally distributed population with mean μ and standard deviation σ. The sample mean x then has the Normal The sample mean x then has the Normal distribution with mean μ and standard deviation σ/ n. When σ is not known, we estimate it with the sample standard deviation s, and then we estimate the standard deviation of x by s/ n.
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