Consider the following null and alternative hypotheses:,Ho: µ = 120 versus H1: µ > 120 ,A random sample of 81 observations taken from this population produced a sample mean of 123.5. The population standard deviation is known to be 15.,a. If this test is made at a 2.5% significance level, would you reject the null hypothesis? Use the critical-value approach.,b. What is the probability of making a Type I error in part a?,c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if ? = .01? What if ? = .05?

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