SOLUTION: The distribution of survival time of guinea pigs with cancer after treatment is typically strongly right-skewed. Assume that the mean of the guinea pig survival time for a populati

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Question 372430: The distribution of survival time of guinea pigs with cancer after treatment is typically strongly right-skewed. Assume that the mean of the guinea pig survival time for a population of guinea pigs with cancer is 100 days with standard deviation of 10 days. Suppose we take a random sample of size n = 49 guinea pigs with cancer from the population of guinea pigs with cancer. What is the approximate probability that the sample mean survival time will be less than 95 days?
Answer by robertb(4012) About Me  (Show Source):
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By the Central limit theorem, the sampling distribution of the means is normally distributed with mean mu+=+100 days with standard deviation (or standard error of the mean)sigma%2Fsqrt%28n%29+=+10%2Fsqrt%2849%29+=+10%2F7. Then . (Note that the distribution of the underlying population need not be normal: the sample size is sufficiently large, and the sampling came from identical and independent distributions.)