1) Car Thefts

You recently received a job with a company that manufactures an automobile antitheft device. To Conduct an advertising campaign for the product, you need to make a claim about the number of Automobile thefts per year. Since the population of various cities in the United States varies, you Decide to use the rates per 10,000 people (The rates are based on the number of people living in the cities.) Your boss said that last year the theft rate per 10,000 people was 44 vehicles. You Want to see if it has changed. The following are rates per 10,000 people for 36 randomly selected in the United States. Assume = 30.3

55421256213473

396923947324

515526664167

155356912078

7025621151736

585633752016

Using this information, answer these questions:

1. What hypotheses would you use?
2. Is the sample considered small or large?
3. What assumptions must be met before the hypothesis test can be conducted?
4. Which probability destitution would you use?
5. Would you select a one or two-tailed test? Why?
6. What critical vales would you use?
7. Conduct a hypothesis test
8. What is your decisions
9. What is your conclusion
10. Write brief statement summarizing your conclusion
11. If you lived in a city whose population was about 50,000 how many automobile thefts per year would you expect to occur?