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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 report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of μ = 7.5 hours per day using some sort of electronic device such as smart phones, computers, or tablets. Assume that the distribution of times is normal with a standard deviation of σ = 2.5 hours and find the following values.

  • a. What is the probability of selecting an individual who uses electronic devices more than 12 hours a day?
  • b. What proportion of 8- to 18-year-old Americans spend between 5 and 10 hours per day using electronic devices? In symbols. p(5 < X < 10) = ?

a.

To determine

To find: The probability of individual who uses electronic devices more than 12 hours day.

Explanation

Given info:

The distribution follows normal distribution with mean 7.5 and standard deviation 2.5 and the individual uses electronic device for more than 12 hours.

Calculation:

Calculating the probability that the individual uses electronic device for more than 12 hours is as follows:

p=p(X>12)=1p(X<12)

The formula for finding the z score is,

z=Xμσ

Substitute 12 for X , 7.5 for μ and 2.5 for σ

z=127.52.5=4

b.

To determine

To find: The probability of individual who uses electronic devices between 5 to 10 hours a day.

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