The distribution of heights of a certain breed of terrier dogs has a mean height of 70 cm and standard deviation of 8 cm, whereas the distribution of heights of a certain breed of poodles has a mean height of 30 cm with a standard deviation of 5 cm. Assuming that the sample means can be measured to any degree of accuracy, find the probability that the sample mean for a random sample of heights of 60 terriers exceeds the sample mean for a random sample of 80 poodles by at most 44 cm.
The distribution of heights of a certain breed of terrier dogs has a mean height of 70 cm and standard deviation of 8 cm, whereas the distribution of heights of a certain breed of poodles has a mean height of 30 cm with a standard deviation of 5 cm. Assuming that the sample means can be measured to any degree of accuracy, find the probability that the sample mean for a random sample of heights of 60 terriers exceeds the sample mean for a random sample of 80 poodles by at most 44 cm.
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
The distribution of heights of a certain breed of terrier dogs has a mean
height of 70 cm and standard deviation of 8 cm, whereas the distribution
of heights of a certain breed of poodles has a mean height of 30 cm with
a standard deviation of 5 cm. Assuming that the sample means can be
measured to any degree of accuracy, find the probability that the sample
mean for a random sample of heights of 60 terriers exceeds the sample
mean for a random sample of 80 poodles by at most 44 cm.
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