Posted by **Moreen** on Saturday, September 11, 2010 at 10:37am.

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 -
**PsyDAG**, Saturday, September 11, 2010 at 10:55am
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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