Question

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 watched television. The mean and the standard deviation for their responses were 17 and 5, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution 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. Choose the correct answer below. between 7 and 27 hours per week between 2 and 32 hours per week between 12 and 22 hours per week less than 12 and more than 22 hours per week

Answer 1

Solution-

we have given

mean = 17

standard deviation = 5

The distribution is bell-shaped(normal)

for normal distribution by empirical rule, the 95% values are fall within 2 standard deviations of mean

that is mean ± (2 * s.d.)

= 17 ± (2 × 5) = ( 7 , 27)

so, correct answer is-

​​​​​​● between 7 and 27 hours per week

2st option is correct.

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