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 rates per 10,000 people. Your boss said that last year the rate per 10,000 people was 44 vehicles. You want to see if it has changed. The followings are rates per 10,000 people for 45 randomly selected locations in the united states. Assume   σ  = 30.3  55   42   125   62   134   73   39   69   23  94   73   24     51    55    26    66   41   67  15   53   56     91    20    78    70    25   62  115 17   36    58    56    33    75    20    16  70   56   23    116  18    20    75    38    15    Using this information, answer these questions. What hypotheses would you use?  What assumption must be met before the hypothesis test can be conducted?   Would you select a one- or a two-tailed test? Why? What critical value(s) would you use?  Conduct a hypothesis test. What is your decision? What is your conclusion?  Write a brief statement summarizing your conclusion.

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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 rates per 10,000 people. Your boss said that last year the rate per 10,000 people was 44 vehicles. You want to see if it has changed. The followings are rates per 10,000 people for 45 randomly selected locations in the united states. Assume   σ  = 30.3

 55   42   125   62   134   73   39   69   23
 94   73   24     51    55    26    66   41   67
 15   53   56     91    20    78    70    25   62
 115 17   36    58    56    33    75    20    16
 70   56   23    116  18    20    75    38    15
 
 Using this information, answer these questions.
  1. What hypotheses would you use? 

  2. What assumption must be met before the hypothesis test can be conducted?

     

  3. Would you select a one- or a two-tailed test? Why?

  4. What critical value(s) would you use? 

  5. Conduct a hypothesis test.

  6. What is your decision?
  7. What is your conclusion? 
  8. Write a brief statement summarizing your conclusion.
  9. If you lived in a city whose population was about 50.000, how many automobile thefts per year would you expect to occur?

This is a single question as you can see. Please answer all the parts, 1 to 9. Thanks.

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