In 2013, the mayor of North Olmsted, Ohio, began a mayor’s court designed to hear cases involving traffic citations and misdemeanor charges. The purpose was to address the case backlog and to add to the city’s revenue. During the first quarter of 2013, the mean fine was $64.98.39 Later in the year, a random sample of 14 fines from the mayor’s court was obtained. The summary statistics were x = 70.45 and s = 15.59. Is there any evidence to suggest that the mean fine has increased? Assume the underlying distribution is normal and use a = 0.01. Write a Solution Trail for this problem.
The 40-hour work week did not become a U.S. standard until 1940. Today, many whitecollar employees work more than 40 hours per week because management demands longer hours or offers large monetary incentives. A random sample of white-collar employees was obtained, and the number of hours each worked during the last week are given in the following table
Is there any evidence the true mean number of hours worked by white-collar employees is greater than 40? Use a = 0.01. What assumption(s) did you make in order to complete this hypothesis test?
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