How many work cycles should be timed to estimate the average cycle time to within 1 percent of the sample mean with a confidence of 95.0 percent if a pilot study yielded these times (minutes): 4.1, 4.6, 51 4.9, 5.9, and 4.4? The standard deviation is 0.631 minutes per cycle. (Use the "mean time" value to 2 decimal places and other values to 3 decimal places for intermediate calculations. Round up your final answer to the next whole number.)