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. at what percentile rank is a car that sold for $30,000?

98th percentile.

Explanation:

We have been given that an average new car costs $23,000, with a standard deviation of $3,500.

Since the price of cars are normally distributed, so we will find z-score for a car sold for $30,000 using z-score formula.

, where,

,

,

,

.

Substitute the given values:

Now, we will use normal distribution table to find what percent of data is below a z-score of 2.

Convert 0.97725 to percentage:

Therefore, the car that is sold for $30,000 has a percentile rank of 98.

the answer is d

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