The driver's seat in most vehicles is set to comfortably fit a person who is at least 159 cm tall. The distribution of heights of adult women is approximately normal with a mean of 161.5 cm and a standard deviation of 6.3 cm. Determine the percentage of women who can be expected to be uncomfortable in the driver's seat of their car without some sort of an adjustment.

Question

Quizplus · Accepted Answer

The percentage of women who are uncomfortable in the driver's seat is the percentage of women who are less than 159 cm tall. The z-score for a height of 159 cm is (159 - 161.5) / 6.3 = -0.4. The percentage of women with a z-score of -0.4 or less is found using a standard normal distribution table and is approximately 0.3446.

The Driver's Seat in Most Vehicles Is Set to Comfortably