A biology scientist claims that the distribution of the lifespans of their testing animal subjects has a mean of 54 months and a standard deviation of 6 months. Suppose an audit group decides to check the claim by choosing a sample of 50 of these subjects.
1) Assuming that the scientist’s claim is true, describe the sampling distribution of the mean lifetime of a sample of 50 subjects.
2) Assuming that the scientist’s claim is true, what the probability the audit group’s sample has a mean life of 52 or fewer months?
3) Plot your answer using R as shown.
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