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Roger has read a report that the weights of adult male Siberian tigers have a distribution...

Roger has read a report that the weights of adult male Siberian tigers have a distribution which is approximately normal with mean of 390 Ib. and standard deviation of 65 Ib. Find the probability that a random sample of 4 male Siberian tigers will have sample mean weight more than 450 Ib.

Math   Statistics-And-Probability   
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Answer #1

Let , , n=4

Since , the sampling distribution of the sample mean is approximately normally distributed with sample mean and sample standard deviation

Now ,

; From standard normal distribution table

Therefore , the probability that a random sample of 4 male Siberian tigers will have sample mean weight more than 450 Ib is 0.0322

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