Nature Kiss Granola comes in a medium-sized box. The weight of granola in the box is normally distributed with a mean of 14 oz and a standard deviation of 0.4 oz. a) What is the probability that the amount of granola in a box selected at random is between 13.9 and 14.2 oz? b) What the probability that the mean amount of granola from a random sample of 9 boxes is between 13.9 and 14.2 oz? c) Compare your answers for part a) and part b). Why is the probability in part b) much higher? Why would this be expected
Nature Kiss Granola comes in a medium-sized box. The weight of granola in the box is normally distributed with a mean of 14 oz and a standard deviation of 0.4 oz. a) What is the probability that the amount of granola in a box selected at random is between 13.9 and 14.2 oz? b) What the probability that the mean amount of granola from a random sample of 9 boxes is between 13.9 and 14.2 oz? c) Compare your answers for part a) and part b). Why is the probability in part b) much higher? Why would this be expected
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
) Nature Kiss Granola comes in a medium-sized box. The weight of granola in the box
is
a) What is the
between 13.9 and 14.2 oz?
b) What the probability that the mean amount of granola from a random sample of 9
boxes is between 13.9 and 14.2 oz?
c) Compare your answers for part a) and part b). Why is the probability in part b) much
higher? Why would this be expected?
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