Consider the null hypothesis Ho: µ = 625. Suppose that a random sample of 29 observations is taken from a normally distributed population with a standard deviation = 32. Uning a significance level of .01, show the rejection and nonrejection regions on the sampling distribution curve of the sample mean and find the critical value(s) of Z when the alternative hypothesis is as fallows.
a. H1: µ ≠ 625 b. H1: µ > 625 c. H1: µ <625
9.30 Consider Ho: µ = 100 versus H1: µ ≠ 100
a. A random sample of 64 observations produced a sample mean of 98. Using α = .01, would you reject the null hypothesis? The population standard deviation is known to be 12.
b. Another random sample of 64 observations taken from the same population produced a sample mean of 104. Using α = .01, would you reject the null hypothesis? The population standard deviation is known to be 12.