70. In a few sentences, describe what the sampling distribution of the mean repr

Question

70. In a few sentences, describe what the sampling distribution of the mean represents in your own words. 71. In 2012, MetricNet found that the average length of a phone call to a help desk was about tern minutes. Call times were strongly right skewed with a standard deviation around 3.5 minutes. Suppose we take a random sample of 50 calls to the help desk and find the average (a) call duration for the 50 calls. We repeat this process many times. (a) What do you expect the mean of the #'s to be? (b) What do you expect the standard deviation of the z's to be? (c) What do you expect the shape of the t's to be? What guarantees this fact? 72. The on-campus housing costs for a semester at a state university are Normally distributed with a mean of $1553 and a standard deviation of $329. (a) What is the distribution of the mean on-campus housing cost for a semester at this (b) What is the probability that a randomly selected on-campus student spends more than (c) What is the probability that a random sample of 50 students spends an average of less (d) What is the probability that a random sample of 50 students spends an average of $1450 university for a random sample of 50 students? $1200 per semester? than $1500? to $1600 per semester?

Explanation / Answer

Please see below the explanation of sampling distribution: -

70)

The sampling distribution of the mean is the distribution of means obtained from the different samples taken. For ex:- If we obtain 50 samples of size 5 and compute the mean of each sample. The distribution of means obtained from each sample would be known as the sampling distribution of the mean.

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