Question

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per​ hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour.​ (Assume the data set has a​ bell-shaped distribution.)
Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour.

Answer 1

Answer:

68%

Step-by-step explanation:

We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.