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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A recent newspaper article reported the results of a survey of well-educated suburban parents. The responses to one question indicated that by age 2, children were watching an average of μ = 60 minutes of television each day. Assuming that the distribution of television-watching times is normal with a standard deviation of σ = 25 minutes, find each of the following proportions.

  • a. What proportion of 2-year-old children watch more than 90 minutes of television each day?
  • b. What proportion of 2-year-old children watch less than 20 minutes a day?

a.

To determine

To find: The proportion of 2-year old children watch more than 90 minutes of television

each day.

Explanation

Given info: Score follows normal distribution with mean 60 and standard deviation 25

And the proportion of 2yrs old children watching television is found to be 90 minutes.

Calculation:

Let μ and σ be the mean and standard deviation of score X respectively. Then,

μ=60σ=25

Let, p is the probability that 2yrs old children watching television is found to be 90 minutes.

p=P(X>90)=1P(Xx

b.

To determine

To find: The proportion of 2-year old children watch less than 20 minutes of television each day.

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