Problem 2 Suppose that we are testing the hypothesis $H_0: \mu = \mu_0$ versus $H_1: \mu \neq \mu_0$. Calculate the P-value for the following observed values of the test statistic: (a) $Z_0 = 2.25$ (d) $Z_0 = 1.95$ (b) $Z_0 = 1.55$ (c) $Z_0 = 2.10$ (e) $Z_0 = -0.10$ NB: Boundaries on the P-value can be provided in case the exact P-value is not attainable from the available statistical tables.
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(a) For Z0 = 2.25: P-value = P(Z > 2.25) = 1 - P(Z < 2.25) = 1 - 0.9878 = 0.0122 (b) For Z0 = 1.55: P-value = P(|Z| > 1.55) = 2 * P(Z < -1.55) = 2 * 0.0606 = 0.1212 (c) For Z0 = 2.10: P-value = P(Z > 2.10) = 1 - P(Z < 2.10) = 1 - 0.9821 = 0.0179 (d) For Z0 = Show more…
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