The amount of television viewed by todayʹs youth is of primary concern to Parents Against WatchingTelevision (PAWT). 300 parents of elementary school-aged children were asked to estimate the number ofhours per week that their child watched television. The mean and the standard deviation for their responseswere 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that thedistribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most(approximately 95%) of the television viewing times fell in the distribution.
A) between 8 and 24 hours per week
B) less than 12 and more than 20 hours per week
C) between 4 and 28 hours per week
D) between 12 and 20 hours per week

Question

Quizplus · Accepted Answer

For a bell-shaped distribution, approximately 95% of the data falls within two standard deviations of the mean. Given a mean of 16 hours and a standard deviation of 4 hours, two standard deviations from the mean would be from 16 - 2(4) = 8 to 16 + 2(4) = 24.

The Amount of Television Viewed by Todayʹs Youth Is of Primary