WEEK FIVE HOMEWORK PROBLEMS

1. For the following set of situations, construct the Null and Alternative Hypothesis.
   1. Brennan is a local officer who believes that he receives, on average, more than 8 emergency calls during each of his shifts. He keeps track of the number of calls he receives for 12 straight shifts.
   2. Believing she spends more than 1.25 hours per shift filling out paperwork, Elise records the time spent for one month to determine if her assumption is correct.
   3. One of Police Chief James’ officers comes to him and claims that the Brunswick Police Department averages 142 moving violation citations per week. To confirm this, James checks the citation logs for the last 15 months.
2. Given the scenarios above and the conclusions of the hypothesis tests listed below, answer the question posed at the end of each scenario.
   1. Brennan decided to conduct a hypothesis test at the 0.02 significance level to see if he did average more than 8 emergency calls per shift. After the test, Brennan failed to reject his null hypothesis. What does this mean?
   2. Elise conducted a hypothesis test at the 0.05 significance level and found out that she failed to reject her null hypothesis. What does this mean that Elise found?
   3. Chief James consults the logs to determine if the number of moving citations issued per week for his precinct is 142. After gathering data and performing a test at the 0.02 significance level, Chief James decides that he needs to reject the null hypothesis. What does this mean that Chief James found?
3. An editorial in a college newspaper claims that the campus officers have failed to provide enough nighttime security. The editorial claims that there are at least 3 assaults per month on the campus. Wishing to dispute this editorial, the commanding officer at the college’s police precinct collected data from 25 random months and found the average number of assaults per month was 2.4 with a standard deviation of 0.9 assaults. Construct a hypothesis test and test the editorial’s claim using the 0.01 level of significance.
4. As of January 2010, the "average" salary for a Police Patrol Officer in the United States, regardless of department size, years of experience, education or any other factor, was $49,158. A prospective job seeker researched some information on 144 officers for the Columbus Police Department and found that the "average" salary for them was $50,520 with a standard deviation of $11,822. Construct and conduct a hypothesis test at the 0.02 level of significance to determine if his findings are enough to determine that "average" salary of an officer in Columbus is different than the rest of the county?

Price: $11.51

Solution: The downloadable solution consists of 4 pages, 751 words.
Deliverable: Word Document