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superwolf
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Homework Statement
The distribution of heights of a certain breed of terrier dogs has a mean height of 72 cm and a standard deviation of 10 cm, whereas the distribution of heights of a certain breed of poodles has a mean height of 28 cm with a stanndard 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 64 terriers exceeds the sample mean for a random sample of heights of 100 poodles by at most 44.2 cm.
Homework Equations
Central Limit Theorem:
[tex]
Z = \frac{\bar X - \mu}{\sigma/\sqrt{n}}
[/tex]
The Attempt at a Solution
Can I simply calculate the chance that the average sample height of the terriers terriers does not exceed (28 cm + 44.2 cm) = 72.2 cm ?