Sketch a standard normal pdf illustrating the critical region having α = 0.05.
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Sketch a standard normal
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- Define the critical region for a hypothesis test, and explain how the critical region is related to the alpha level.Show that the normal distribution has(a) a relative maximum at x = μ;(b) inflection points at x = μ − σ and x = μ + σ.If the alpha level is changed from a = .OS to a = .01 What happens to the boundaries for the critical region? What happens to the probability of a Type I error?
- If the alpha level is changed from α = .05 to α = .02 What happens to the boundaries for the critical region?If the alpha level changed from a=0.05 to a=0.01, what happens to the critical region and ehat happens to the probability of type 1 errorShade the corresponding region under the standard normal curve.
- Find the t-value that form the boundaries of the critical region for a two-tailed test with a= 0.01 and a sample size of 25.What is the cumulative area under the standard normal curve between z- score -1 and z-score 1 ?A researcher decides to lower the alpha level that determines the critical region(s) prior to conducting a hypothesis test. This will increase the power of the hypothesis test. True or False?