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# Statistics of Doctor Appointment with a New Patient

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4. The amount of time a doctor spends in an appointment with a new patient has a
mean minutes and standard deviation minutes. The distribution of
times is not normal.

(a) Suppose a sample of 5 new patient appointments is
selected. What can you say about the sampling distribution of the sample mean?

(b) Suppose a sample of 36 new patient appointment meetings
is selected. What is the probability that the sample mean is
at least 35 minutes?

(c) Explain why it is possible to determine the probability in
part (b). Hint: What theorem allows you to do so?

##### Solution Summary

The expert examines the statistics of doctors appointments with a new patient.

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4. The amount of time a doctor spends in an appointment with a new patient has a
mean minutes and standard deviation minutes. The distribution of
times is not normal.

[5 pts] (a) Suppose a sample of 5 new patient appointments is
selected. What can you say about the sampling distribution of the sample mean?

The central limit theorem states that when random samples are taken from a population the sampling distribution of the sample means approaches the normal distribution as the sample size increases. It is generally accepted ...

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