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United Motors claims that one if its cars, the Starbird 300, gets city driving mileages that are normally distributed with a mean of 30mpg and

United Motors claims that one if its cars, the Starbird 300, gets city driving mileages that are normally distributed with a mean of 30mpg and a standard deviation of 1 mpg. If you purchase (randomly select) a Starbird 300 and your car gets 27 mpg in city driving, what do you think of United Motors' claim?

  • Are you disappointed with your new car's mileage?(Yes or No)
  • Do you think other cars' mileages can be worse? (Yes or No)
  • If you will compute for the probability that there are other cars that have worse mileage, where should we find the area in the normal distribution? (Left Tail, Right Tail, or Both Tails)
  • What is the z-score you computed?
  • What is the probability of the z-score you computed?
  • Is the company's claim realistic? Explain.

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