P;EASE!

Asurvey is being planned to investigate total sleep time per night amongst students at the University of ._ ' i Similar studies have been performed at other universities has show that the mean sleep time differs between each university, but the standard deviation appears to be consistent at or = 1.69 hours. Assume that total sleeping time is normally distributed, calculate the smallest sample size n of EM" _ _ students required in this survey so that the 95% of averages fall within i4 minutes of the population mean. Minimum required sample size: Whole number You may use the following information. a z,Jr 0.100 1.282 0.050 1.645 0.025 1.960 0.005 2.576