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Category > Math Posted 27 Sep 2017 My Price 7.00

We have a huge amount of data showing that the mean acceleration time (0 to 60 miles per hour) is 10.2 seconds when using regular unleaded gasoline.

We have a huge amount of data showing that the mean acceleration time (0 to 60 miles per hour) is 10.2 seconds when using regular unleaded gasoline. Now suppose that we make 41 such tests using premium unleaded gasoline because we want to find out whether premium unleaded gasoline gives us a reduction (improvement) in mean acceleration time. The sample mean acceleration for this group turns out to be 9.7 seconds with sample standard deviation of 2.1 seconds. Go to http://davidmlane.com/hyperstat/, an online statistics text, to answer the following questions related to Mr. James's problem. Use your knowledge to answer the following questions:

 

  • What is the hypothesis of interest in this question?
  • Would you recommend a Z-test or t-test? Give a reason for your answer.
  • What is the value of the test statistic for this test?
  • What is the distribution of the test statistic you mentioned in the last question?
  • Perform the test by first computing the p value for the test.
  • Why is a one-sided test better than a two-sided test in this situation
  • Can you change the situation so that a two-sided test would be appropriate and a one-sided test would not be appropriate?

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Status NEW Posted 27 Sep 2017 03:09 AM My Price 7.00

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