At one high school, students can run the 100-yard dash in an average of 15.2 seconds with a standard deviation of .9 seconds. The times are very closely approximated by a normal curve. Find the percent of times that are indicated. Round to the nearest whole percent.
-Between 16.1 and 17 seconds
A) $27 \%$
B) $34 \%$
C) $14 \%$
D) $12 \%$

Question

Quizplus · Accepted Answer

To find the percentage of times between 16.1 and 17 seconds, calculate the z-scores for both times. For 16.1 seconds, the z-score is (16.1 - 15.2) / 0.9 = 1. For 17 seconds, the z-score is (17 - 15.2) / 0.9 = 2. Using the standard normal distribution table, the area between z = 1 and z = 2 is approximately 0.1359, which is about 14% when rounded to the nearest whole percent.

At One High School, Students Can Run the 100-Yard Dash 27%27 \%27%

At One High School, Students Can Run the 100-Yard Dash $27 \%$