The claim that the variance of a normal population is σ2 = 4 is to be rejected if the variance of a random sample of size 9 exceeds 7.7535. What is the probability that this claim will be rejected even though σ2 = 4?
Answer to relevant QuestionsConsider the sequence of independent random variables X1, X2, X3, . . . having the uniform densities Use the sufficient condition of Exercise 8.7 to show that the central limit theorem holds. Use a computer program to verify the five entries in Table IV corresponding to 11 degrees of freedom. Use the result of part (c) of Exercise 8.58 to find the probability that in a random sample of size n = 10 at least 80 percent of the population will lie between the smallest and largest values. Basing their decisions on pessimism as in Example 9.2, where should (a) Ms. Cooper of Exercise 9.12 make her reservation; (b) The truck driver of Exercise 9.13 go first? Example 9.2 With reference to Example 9.1, suppose ...Verify the two probabilities 4/17 and 13/17, which we gave on page 265, for the randomized strategy of Player B.
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