To test H0: μ = 45 versus H1: μ ≠ 45, a simple random sample of size n = 40 is obtained. (a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section?

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10. To test H0: μ = 45 versus H1: μ ≠ 45, a simple random sample of size n = 40 is obtained. (a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why? 11. You Explain It! ATM Withdrawals According to the Crown ATM Network, the mean ATM withdrawal is $67. PayEase, Inc., manufacturers an ATM that allows one to pay bills (electric, water, parking tickets, and so on), as well as withdraw money. A review of 40 withdrawals shows the mean withdrawal is $73 from a PayEase ATM machine. Do people withdraw more money from a PayEase ATM machine? (a) Determine the appropriate null and alternative hypotheses to answer the question. (b) Suppose the P-value for this test is 0.02. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an α = 0.05 level of significance.

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