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12) How large a sample should be taken if the population mean is to be estimated with 99% confidence to within $75?

12) How large a sample should be taken if the population mean is to be estimated with 99% confidence to within $75? The population has a standard deviation of $891. (Round your answer up to the nearest whole number.)

13) Suppose that a hypothesis test is to be carried out by using α=0.03. What is the probability of committing a type I error? (give your answer correct to two decimal places.)

14) Assume that z is the test statistic. (Give your answers correct to two decimal places.)

a) Calculate the value of z for Ho: μ=10, σ=3.1, n=45, x bar=10.9

b) Calculate the value of z for Ho: μ=120, σ=23, n=21, x bar=126.4

c) Calculate the value of z for Ho: μ=18.2, σ=3.7, n=137, x bar=18.94

d) Calculate the value of z for Ho: μ=81, σ=13.3, n=49, x bar=78.6
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