The amount of time spent by North American adults watching television per day is normally distributed with a mean of 6 hours and a standard deviation of 1.5 hours. a. What is the probability that a randomly selected North American adult watches television for more than 7 hours per day? b. What is the probability that the average time watching television by a random sample of five North American adults is more than 7 hours? c. What is the probability that in a random sample of five North American adults, all watch television for more than 7 hours per day?

The amount of time spent by North American adults watching television per day is normally distributed with a mean of 6 hours and a standard deviation of 1.5 hours. a. What is the probability that a randomly selected North American adult watches television for more than 7 hours per day? b. What is the probability that the average time watching television by a random sample of five North American adults is more than 7 hours? c. What is the probability that in a random sample of five North American adults, all watch television for more than 7 hours per day?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

2. The amount of time spent by North American adults watching television per day is normally
distributed with a mean of 6 hours and a standard deviation of 1.5 hours.
a. What is the probability that a randomly selected North American adult watches television for more
than 7 hours per day?
b. What is the probability that the average time watching television by a random sample of five North
American adults is more than 7 hours?
c. What is the probability that in a random sample of five North American adults, all watch television for
more than 7 hours per day?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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