A study is conducted to estimate the mean completion time of a task to within 7 minutes 6 seconds of the population mean. Suppose completion time is normally distributed with a standard deviation of 10 minutes 27 seconds. What minimum sample size is required at the 99.4% confidence level? You must use a critical z value rounded to two (2) decimal places. Do not round other intermediate results. Report final answer as an integer. Minimum sample size required = 3.49 X