Over 50% of family households in the U.S. have no chil-dren under 18 living at home and fewer than 10% have 3 or more, so the distribution of the number of childrenliving in family households is skewed to the right. Themean is 0.96 children, with a standard deviation of1.26 children. What’s the probability that in a randomsample of 250 family households the mean numberof children living in those homes will be greater than 1?A) 0.056 B) 0.308 C) 0.487D) It cannot be determined, because the sample is notlarge enough.E) It cannot be determined, because the populationdistribution is not normal.

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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Over 50% of family households in the U.S. have no chil-
dren under 18 living at home and fewer than 10% have
3 or more, so the distribution of the number of children
living in family households is skewed to the right. The
mean is 0.96 children, with a standard deviation of
1.26 children. What’s the probability that in a random
sample of 250 family households the mean number
of children living in those homes will be greater than 1?
A) 0.056 B) 0.308 C) 0.487
D) It cannot be determined, because the sample is not
large enough.
E) It cannot be determined, because the population
distribution is not normal.
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