# In developing patient appointment schedules, a medical center wants to estimate the mean time that a staffmember spends with each patient. How large a sample should be taken if the desired margin of error is twominutes at a 95% level of confidence? How large a sample should be taken for a 99% level of confidence? Usea planning value for the population standard deviation of 9 minutes.95% Confidence (to the nearest whole number):99% Confidence (to the nearest whole number)

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Step 1

Given:

Standard deviation = σ = 9

Margin of error = 2

To find sample size for given confidence level.

Step 2

For 95%,

First need to find z for 95%.

P(Z≤z) = 0.95

Using standard normal table,

Z = 1.96

Formula to find sample size is,

Step 3

For 99%,

First need to find z for 995%.

P(Z≤z) = 0.99

Usi...

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