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After some consideration, the CEO of ABC Enterprises determined that the mean meal expenditure for the population is really about 56 dollars per day. Accountant

After some consideration, the CEO of ABC Enterprises determined that the mean meal expenditure for the population is really about 56 dollars per day. Accountant X in ABC Enterprises has been collecting receipts from the company's travelers, and 56 dollars "felt wrong" to her. She had receipts from 18 employees on her desk. Upon averaging them, she found that the mean daily expenditure was 58 dollars with a standard deviation of 4 dollars. She set alpha at 0.05. We are going to conduct a hypothesis test to determine if the mean expenditure is greater than 56 dollars.

  • What is the null hypothesis?
  • What is the alternative hypothesis?
  • Is this test one-tailed, or two-tailed, and how do you know?
  • Should this test use t or z, and how do you know?
  • Show the math and compute your test statistic (z or t).
  • What is the p value?
  • Is p greater or less than alpha?
  • Should the null hypothesis be rejected or failed to be rejected? Why?
  • What is your conclusion? Is the accountant correct?

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