7.11 Suppose cholesterol levels of athletes follow a N(μ, o) distribution. The average choles- terol level of 31 randomly selected athletes was = 130.3726 with standard deviation s = 12. Suppose we wish to test Ho = 135 versus Ha < 135 at the a = 0.01 significance level. (a) Find the p-value for this test. (b) Is the mean cholesterol level μ significantly less than 135? Why? fl (c) Suppose the significance level a = 0.05. Is the mean cholesterol level u signifi- cantly less than 135? Why?

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