Mathematics · Hypothesis Testing
Let X1, X2, ..., X16 be a random sample from a normal distribution with unknown mean μ and variance 4. Suppose Z ~ N(0,1). For the most powerful test for testing H0: μ = 3 versus H1: μ = 0, which one of the following is the p-value where the observed sample mean is 2.5?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1P(Z > 1)✓
- 2P(Z > -1)
- 3P(Z > 0.5)
- 4P(Z > -0.5)
Correct answer
P(Z > 1)
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