The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watches television. The mean and the standard deviation for their responses were 17 and 3, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a symmetric, mound-shaped distribution. Give an interval where you believe approximately 95% of the television viewing times fell in the distribution.
A) between 8 and 26 hours per week
B) less than 14 and more than 20 hours per week
C) less than 23
D) between 11 and 23 hours per week

Question

Quizplus · Accepted Answer

In a symmetric, mound-shaped distribution (normal distribution), approximately 95% of the data falls within two standard deviations of the mean. With a mean of 17 and a standard deviation of 3, the interval is 17 ± 2(3), which is 11 to 23 hours per week.

The Amount of Television Viewed by Today's Youth Is of Primary