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A newspaper article reported that people spend a mean of 7.5 hours per day watching TV,...

A newspaper article reported that people spend a mean of 7.5 hours per day watching TV, with a standard deviation of 2.0 hours. A psychologist would like to conduct interviews with the 20% of the population who spend the most time watching TV. She assumes that the daily time people spend watching TV is normally distributed. At least how many hours of daily TV watching are necessary for a person to be eligible for the interview? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place

Math   Statistics-And-Probability   
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Answer #1

Let X be the number of hours a person spend per day watching TV.

X is assumed to be normally distributed with mean mu=7.5 hours and standard deviation of 2.0 hours.

We want to find the minimum hours of time a person spend watching TV such that it falls in the top 20% of the population.

The number of hours are obtained by

. ##by using z table

Therefore at least 9.2 hours of daily TV watching are necessary for a person to be eligible for interview.

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