## Suppose the average commute time of your employees is unknown. The standard deviation of their commute time is estimated as 22.8 minutes. Ho

Question

Suppose the average commute time of your employees is unknown. The standard deviation of their commute time is estimated as 22.8 minutes. How many employees must be included in a sample to create a 99 percent confidence interval for the average commute time with a confidence interval width of no more than 12 minutes

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Mathematics
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2021-07-22T06:55:19+00:00
2021-07-22T06:55:19+00:00 1 Answers
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## Answers ( )

Answer:

96 employees

Step-by-step explanation:

Given that the standard deviation = 22.8

The width in the question = 12

We solve for the margin of error E.

E = width / 2

= 12/2 = 6

At 99%

Alpha = 1-0.99

= 0.01

Alpha/2 = 0.01/2 = 0.005

Z0.005 = 2.576

Sample size n

= ((2.576×22.8)/2)²

= 95.8

= 96

The number of employees is 96

Thank you!