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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? 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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