A recent survey describes the total sleep time per night among college students as approximately Normally
distributed with mean μ = 6.76 hours and standard deviation σ = 1.29 hours. You initially plan to take an SRS of size n = 185
and compute the average total sleep time.
What is the standard deviation for the average time in hours? (Round your answer to four decimal places.)
in minutes? (Round your answer to three decimal places.)
Use the 95 part of the 68-95-99.7 rule to describe the variability of this sample mean. (Round your answer to four decimal places.)
95% of the time the sample mean will be between a lower value of hours and an upper value of hours.
What is the probability that your average will be below 6.9 hours? (Round your answer to four decimal places.)