Week Four Homework

Problem 1: Correctly state the null and alternative hypothesis for the following problem situations.

1. The average time a patrolman spends filling out reports is 2.34 hours per day.
2. A person, on average, will receive 4.83 speeding tickets in their lifetime.
3. The Tiffin Police Department qualifies at least 94% of its officers on new CPI techniques.

Problem 2: Using the hypothesis from problem (1), correctly report the results if. . . .

1. Your experiment found the average patrolman spent 2.50 hours per day filling out reports.
2. You poll 50 people and find they have gotten an average of 1.93 speeding tickets per person.
3. The Tiffin Police Department qualified \(98 \%\) of its officers.

Problem 3: According to the U.S. Department of Justice, in 1992 the average convicted rapist was sentenced to 117 months in prison. The average time served was only 65 months. If you were to collect a random sampling of 50 convicted rapists in Ohio and found the average time they served was 70.43 months, would this be sufficient information to state that prisoners in Ohio serve sentences sufficiently greater than the national average?

(Use \(\alpha=.01\) & \(\sigma=12.34\) )

Problem 4: (4) A manufacturer claims that the life of a gun barrel on their standard-issue \(9 \mathrm{~mm}\) is 2,540 shots with a standard deviation of 93 shots. A random sample of 100 guns is collected and it is found that the average lifespan of their barrels is 2.514. Using the .02 confidence level, is this collection of guns significantly below manufacturing standards?

Problem 5: Explain why the more "tests" you run on a certain hypothesis the closer your sampling average should come to the population average. (i.e. explain how the CLT works)

Price: $10.46

Solution: The downloadable solution consists of 5 pages, 546 words.
Deliverable: Word Document