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Toyota’s marketing department is in the process of creating an ad meant to highlight the fuel...

Toyota’s marketing department is in the process of creating an ad meant to highlight the fuel efficiency of its Camry model compared to its Avalon model. Toyota knows that based on their production process, the miles per gallon (mpg) of both the Camry and the Avalon follow a normal distribution with the Camry having a standard deviation of 1.5 mpg and the Avalon having a standard deviation of 3.6 mpg. Toyota takes a sample of 50 Camry models and 60 Avalon models and finds that the Camry has a mean mpg of 31 while the Avalon has a mean mpg of 29.5 mpg. Toyota would like to know if there is sufficient evidence, at the alpha=0.01 level, to conclude that the Camry has a higher mpg than the Avalon. Answer the following questions.

  1. What are the null and alternative hypotheses?
  1. What is the critical value?
  1. What is the test statistic?
  1. What is the probability that you will find the Camry has a higher mpg but really it does not?
  1. Will you reject or fail to reject the null hypothesis?

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