How many work cycles should be timed to estimate the average cycle time to within 5 percent of the sample mean with a confidence of 99.0 percent if a pilot study yielded these times (minutes): 4.0, 4.5, 5.0, 4.5, 4.5, and 4.0

Using the sample size formula, the number of samples required is 919.

From the data given :

Using the sample size relation thus:

Substituting the values into the equation :

Hence, the sample size required is 919.

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Following are thew solution to this question:

Step-by-step explanation:

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Using formula:

n = the number of work cycles for 95 confidence interval

z-score = 1.96

So, =