According to the American Time Use Survey, Americans age 15 and over spend an average of 2.45 hours each day watching television. The distribution of all such amounts of time spent watching television is skewed to the left with a standard deviation of 1.14 hours. Use this information to determine the following two probabilities. Round solutions to four decimal places, if necessary. Find the probability that a single randomly American watches television more than 2.95 hours per day. P(x > 2.95) = %3D Find the probability that the mean time spend watching television per day of a random sample of 59 Americans is more than 2.95 hours. P(a > 2.95) Hint: Notice that the first question refers to a single observation it's a population distribution question (Chapter 6). On the other hand, the second question refers to a sample of size 59, thus it's a sampling distribution of a sample mean exercise (Chapter 7).
According to the American Time Use Survey, Americans age 15 and over spend an average of 2.45 hours each day watching television. The distribution of all such amounts of time spent watching television is skewed to the left with a standard deviation of 1.14 hours. Use this information to determine the following two probabilities. Round solutions to four decimal places, if necessary. Find the probability that a single randomly American watches television more than 2.95 hours per day. P(x > 2.95) = %3D Find the probability that the mean time spend watching television per day of a random sample of 59 Americans is more than 2.95 hours. P(a > 2.95) Hint: Notice that the first question refers to a single observation it's a population distribution question (Chapter 6). On the other hand, the second question refers to a sample of size 59, thus it's a sampling distribution of a sample mean exercise (Chapter 7).
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:According to the American Time Use Survey, Americans age 15 and over spend an average of 2.45 hours
each day watching television. The distribution of all such amounts of time spent watching television is
skewed to the left with a standard deviation of 1.14 hours. Use this information to determine the following
two probabilities. Round solutions to four decimal places, if necessary.
Find the probability that a single randomly American watches television more than 2.95 hours per day.
P(x > 2.95) =
Find the probability that the mean time spend watching television per day of a random sample of 59
Americans is more than 2.95 hours.
P(7 > 2.95) =
Hint: Notice that the first question refers to a single observation it's a population distribution question
(Chapter 6). On the other hand, the second question refers to a sample of size 59, thus it's a sampling
distribution of a sample mean exercise (Chapter 7).
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