5. The distribution of heights of a certain breed of terrier has a mcan of 72 ccntimcters and a standard deviation of 10 centimeters, whereas the distribution of heights of a certain breed of poodle has a mean of 28 centimeters with a standard deviation of 5 centimcters. Assume the distributions of both types of breeds are normally distributed. (n) Suppose we are taking a random sample of 6 terriers. What is the sampling distri- bution of mcan heights of the broed of terricers? (b) Find the probability that the sample mean for a random sample of heights of 64 terriers excoedls 75 centimeters. (c) Find the probability that the sample mean for a random sample of heights of 64 terriers excreds the sample mean for a random sample of hcights of 100 poodles by at least 44.2 centimet.ers.

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