a Problem 8 Let д denote the true average tread life of a certain type of tire. Consider testing Ho : u = 30000 versus H

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a Problem 8 Let д denote the true average tread life of a certain type of tire. Consider testing Ho : u = 30000 versus H

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a Problem 8 Let д denote the true average tread life of a certain type of tire. Consider testing Ho : u = 30000 versus H, :p > 30000 based on a sample of size n = 16 from a normal population distribution with o 1500. • If a = 0.01 is used, state the rejection rule. If ī = 30960 is observed, what is your decision? • If i = 30960, what is the smallest a at which H, can be rejected? Problem 9 The following sample of size n = 12 is observed. 105.6, 90.9, 91.2, 96.9, 96.5, 91.3, 100.1, 105.0, 99.6, 107.7, 103.3, 92.4. The sample mean and the sample standard deviation are calculated to be T = 98.375, Sx = 6.109. Does this data suggest that the population mean differs from 100? State the hypotheses. Find the rejection rule using a = 0.05. Make your decision.
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