## An initial time study resulted in an average observed time of 2.2 minutes per cycle, and a standard deviation of 0.3 minutes per cycle. The

Question

An initial time study resulted in an average observed time of 2.2 minutes per cycle, and a standard deviation of 0.3 minutes per cycle. The performance rating was 1.20. What sample size, including the 20 observations in the initial study, would be necessary to have a confidence of 95.44 percent that the observed time was within 4 percent of the true value?

in progress
0

Math
3 weeks
2022-01-07T06:52:19+00:00
2022-01-07T06:52:19+00:00 1 Answer
0 views
0
## Answers ( )

Answer:The sample size required is

225.Step-by-step explanation:The confidence interval for population mean (

μ) is:The margin of error is:

Given:

The margin of error is,

MOE= 0.04The confidence level is 95.44%.

The critical value of

zfor 95.44% confidence interval is:So, .

Determine the sample size as follows:

Thus, the sample size required is

225.