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 sampie 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 sampie
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.
Transcribed Image Text: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 sampie 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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