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Exam 2 Study Guide - MSCI 3710 One sample z-test(Chapter 8...

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MSCI 3710 One sample z-test (Chapter 8): Sample Exam Problem 1 Note: The following problem is taken from the Mid-term Exam in Spring2002, questions 1-6. The Caribbean boasts of inexpensive weddings. From past data, the average cost of a wedding is known to be $7500, with a standard deviation of $975. To test if the true mean costs have changed, a random sample of 36 current weddings is taken. Their average is $7750. Is there evidence that currently, the true mean cost of wedding differs from the usual $7500? Perform the test at = 0.05. 1. What are the null hypothesis and alternative hypothesis for this test? A. Ho: = 7750 Ha: ≠ 7750 B. Ho: > 7750 Ha: < 7750 C. Ho: = 7500 Ha: ≠7500 D. Ho: > 7500 Ha: ≠7500 E. Ho: = 7500 Ha: <7500 2. The appropriate test statistic for testing the above hypothesis is: A. t because the sample size is small B. t because the sample standard deviation was calculated C. Z because the population standard deviation is known D. Z because the sample variance was provided E. F because we do not know the equality of the variance
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