6.
(4 pts) The average number of hours of sleep that US college
students get is known to be Normally distributed, with μ = 7.02
hours and σ = 1.15 hours. (6.1) What proportion of students get
less than 5 hours of sleep per night on the average? (1 pt) (6.2)
Sam gets an average of 8.3 hours of sleep. What is Sam’s percentile
score (z-statistics)? (2 pts) What is Sam’s percentile raking (the
percentage of students whose hours of sleep are less than or equal
to Sam’s)? (1 pt) (calculate step by step )