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Mathematics, 11.05.2021 15:10 dannies

Recall that the distribution of the lengths of calls coming into a Boston call center each month is strongly skewed to the right. The mean call length is μ = 90 seconds and standard deviation is σ = 120 seconds. Let x be the sample mean from 10 randomly selected calls. What is the mean and standard deviation of x? What, if anything, can you say about the shape of the distribution of x in part a? Explain. Let x be the sample mean from 100 randomly selected calls. What is the mean and standard deviation of x? What, if anything, can you say about the shape of the distribution of x in part c? Explain. In a random sample of 100 calls from the call center, what is the probability that the average length of these calls will be over 2 minutes (120 seconds)? (This is a normal calculation problem, just like 1a.)

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