More than 100 million people around the world are not gettingenough sleep; the average adult needs between 7.5 and 8 hours ofsleep per night. College students are particularly at risk of notgetting enough shut-eye.
A recent survey of several thousand college students indicatedthat the total hours of sleep time per night, denoted by the randomvariable X, can be approximated by a normalmodel with E(X)= 6.84 hours and SD(X) = 1.24 hours.
Question 1. Find the probability that the hoursof sleep per night for a random sample of 4 college students has amean x between 6.7 and 6.93.
(use 4 decimal places in your answer)
Question 2. Find the probability that the hoursof sleep per night for a random sample of 16 college students has amean x between 6.7 and 6.93.
(use 4 decimal places in your answer)
Question 3. Find the probability that the hoursof sleep per night for a random sample of 25 college students has amean x between 6.7 and 6.93.
(use 4 decimal places in your answer)
Question 4. The Central Limit Theorem wasneeded to answer questions 1, 2, and 3 above.
TrueFalse   Â
