(a) If the population mean is 29, what is the probability that the sample mean leads to the conclusion do not reject $H_0$? The sample size was given to be 165 and the population standard deviation was given to be $\sigma = 7$. The hypotheses are as follows. $H_0: \mu \ge 30$ $H_a: \mu < 30$ Thus, the hypothesized value is $\mu = 30$, and $n = 165$.
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Since the population standard deviation is not given, we will use the sample standard deviation as an estimate for σ. Show more…
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