Research and Statistics

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2. The results of a recent survey indicate that the average new car costs $23,000, with a standard deviation of $3,500. The price of cars is normally distributed.
a. What is a Z score for a car with a price of $ 33,000?
9.415000
b. What is a Z score for a car with a price of $30,000?
8.557857
c. At what percentile rank is a car that sold for $30,000?

  • Research and Statistics -

    Z = (score-mean)/SD = (33,000-23,000)/3500 = 10,000/3,500 = 2.86

    Do the same for 30,000.

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to the second Z score.

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