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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Asked Nov 16, 2019
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In developing patient appointment schedules, a medical center wants to estimate the mean time that a staff
member spends with each patient. How large a sample should be taken if the desired margin of error is two
minutes at a 95% level of confidence? How large a sample should be taken for a 99% level of confidence? Use
a 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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In developing patient appointment schedules, a medical center wants to estimate the mean time that a staff member spends with each patient. How large a sample should be taken if the desired margin of error is two minutes at a 95% level of confidence? How large a sample should be taken for a 99% level of confidence? Use a 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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Expert Answer

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,

n=i
E
Calculation:
1.96 x 9
n=
2
n 77.79
n 78
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n=i E Calculation: 1.96 x 9 n= 2 n 77.79 n 78

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Step 3

For 99%,

First need to find z for 995%.

P(Z≤z) = 0.99

Usi...

Formula to find sample size is,
хо
п -
n
E
Calculation:
2.576 x 9
п-
n 134.37
n 134
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Formula to find sample size is, хо п - n E Calculation: 2.576 x 9 п- n 134.37 n 134

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Hypothesis Testing

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