Question
In: Statistics and Probability
More than 100 million people around the world are not getting enough sleep; the average adult...
More than 100 million people around the world are not getting enough sleep; the average adult needs between 7.5 and 8 hours of sleep per night. College students are particularly at risk of not getting enough shut-eye.
A recent survey of several thousand college students indicated
that the total hours of sleep time per night, denoted by the random
variable X, can be approximated by a normal model with
E(X) = 6.9 hours and SD(X) = 1.27 hours.
Question 1. Find the probability that the hours of sleep per night for a random sample of 4 college students has a mean xbetween 6.84 and 6.97.
(use 4 decimal places in your answer)
Question 2. Find the probability that the hours of sleep per night for a random sample of 16 college students has a mean xbetween 6.84 and 6.97.
(use 4 decimal places in your answer)
Question 3. Find the probability that the hours of sleep per night for a random sample of 25 college students has a mean xbetween 6.84 and 6.97.
(use 4 decimal places in your answer)
Question 4. The Central Limit Theorem was needed to answer questions 1, 2, and 3 above.
TrueFalse
Solutions
orchestra answered 1 year agoRelated Solutions
More than 100 million people around the world are not getting enough sleep; the average adult...
More than 100 million people around the world are not getting
enough sleep; the average adult needs between 7.5 and 8 hours of
sleep per night. College students are particularly at risk of not
getting enough shut-eye.
A recent survey of several thousand college students indicated
that the total hours of sleep time per night, denoted by the random
variable X, can be approximated by a normal model with
E(X) = 6.94 hours and SD(X) = 1.14 hours.
Question 1:...
More than 100 million people around the world are not getting enough sleep; the average adult...
More than 100 million people around the world are not getting
enough sleep; the average adult needs between 7.5 and 8 hours of
sleep per night. College students are particularly at risk of not
getting enough shut-eye.
A recent survey of several thousand college students indicated
that the total hours of sleep time per night, denoted by the random
variable X, can be approximated by a normal model with
E(X) = 6.74 hours and SD(X) = 1.18 hours.
Question 1....
More than 100 million people around the world are not getting enough sleep; the average adult...
More than 100 million people around the world are not getting
enough sleep; the average adult needs between 7.5 and 8 hours of
sleep per night. College students are particularly at risk of not
getting enough shut-eye.
A recent survey of several thousand college students indicated
that the total hours of sleep time per night, denoted by the random
variable X, can be approximated by a normal model with
E(X) = 6.72 hours and SD(X) = 1.16 hours.
- Find...
More than 100 million people around the world are not getting enough sleep; the average adult...
More than 100 million people around the world are not getting
enough sleep; the average adult needs between 7.5 and 8 hours of
sleep per night. College students are particularly at risk of not
getting enough shut-eye. A recent survey of several thousand
college students indicated that the total hours of sleep time per
night, denoted by the random variable X, can be approximated by a
normal model with E(X) = 6.84 hours and SD(X) = 1.2 hours.
Question 1....
More than 100 million people around the world are not getting enough sleep; the average adult...
More than 100 million people around the world are not getting
enough sleep; the average adult needs between 7.5 and 8 hours of
sleep per night. College students are particularly at risk of not
getting enough shut-eye.
A recent survey of several thousand college students indicated
that the total hours of sleep time per night, denoted by the random
variable X, can be approximated by a normal model with
E(X) = 6.94 hours and SD(X) = 1.27 hours.
Question 1....
More than 100 million people around the world are not getting enough sleep; the average adult...
More than 100 million people around the world are not getting
enough sleep; the average adult needs between 7.5 and 8 hours of
sleep per night. College students are particularly at risk of not
getting enough shut-eye. A recent survey of several thousand
college students indicated that the total hours of sleep time per
night, denoted by the random variable X, can be approximated by a
normal model with E(X) = 6.79 hours and SD(X) = 1.22 hours.
Question 1....
More than 100 million people around the world are not getting enough sleep; the average adult...
More than 100 million people around the world are not getting
enough sleep; the average adult needs between 7.5 and 8 hours of
sleep per night. College students are particularly at risk of not
getting enough shut-eye.
A recent survey of several thousand college students indicated
that the total hours of sleep time per night, denoted by the random
variable X, can be approximated by a normalmodel with E(X)
= 6.84 hours and SD(X) = 1.24 hours.
Question 1. Find...
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