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ACT
ACT Math Section

Probability of Height Less than 70 inches

Very Hard Preparing For Higher Math Statistics And Probability

A researcher conducted a study on the heights of adult females in a certain city. A sample of 50 heights (in inches) was recorded with the following summary statistics:

Mean height: 64.5 inches

Standard deviation: 3.2 inches

The researcher decides to use a normal distribution model for analyzing the data. Assuming that the distribution of heights is normal, what is the probability that a randomly selected adult female from this city has a height less than 70 inches?

Use the standard normal distribution tables or the calculator to find the final answer.

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