To schedule appointments better the office manager for an op

To schedule appointments better, the office manager for an ophthalmologist wants to estimate the
average time that the doctor spends with each patient. A random sample of 49 is taken, and the sample
mean is 20.3 minutes. Assume that the office manager knows from past experience that the standard
deviation is 14 minutes. She finds that a 95% confidence interval is between 18.3 and 22.3 minutes. What
is the point estimate of the population mean, and what is the confidence coefficient?
A. 18.3, 95%
B. 20.3, 0.95
C. 20.3, 95%
D. 18.3, 0.95

Solution

Note that

Point Estimate = (lower bound + upper bound)/2

=(18.3 + 22.3)/2

= 20.3

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As for the confidence coefficient, how do you define it in class? Most sources say that it is just the confidence level.

Depending on how you define it in class, you can choose either 0.95 or 95%.