AP Statistics › How to use the Central Limit Theorem
Cat owners spend an average of $40 per month on their pets, with a standard deviation of $5.
What is the probability that a randomly selected pet owner spends less than a month on their pet?
If the Central Limit Theorem applies, we can infer that:
In a particular library, there is a sign in the elevator that indicates a limit of persons and a weight limit of
. Assume an approximately normal distribution, that the average weight of students, faculty, and staff on campus is
, and the standard deviation is
.
If a random sample of people is taken, what is the standard deviation of their weights?
Let us suppose we have population data where the data are distributed Poisson
(see the figure for an example of a Poisson random variable).
Which distribution increasingly approximates the sample mean as the sample size increases to infinity?
It is known that cat owners spend an average of a month on their pets, with a standard deviation of
.
What is the probability that a randomly selected cat owner spends between to
a month on their pet?
Cat owners spend an average of per month on their pets, with a standard deviation of
.
What is the probability that a randomly chosen cat owner spends more than a month on their pet?
A survey company samples 60 randomly selected college students to see if they own an American Express credit card. One percent of all college students own an American Express credit card. Does the Central Limit Theorem apply?