Sampling Distributions

Practice Questions

AP Statistics › Sampling Distributions

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1

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?

2

Let us suppose we have population data where the data are distributed Poisson

(see the figure for an example of a Poisson random variable). 360px-poisson_pmf.svg

Which distribution increasingly approximates the sample mean as the sample size increases to infinity?

3

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?

4

If the Central Limit Theorem applies, we can infer that:

5

Let us suppose we have population data where the data are distributed Poisson

(see the figure for an example of a Poisson random variable). 360px-poisson_pmf.svg

Which distribution increasingly approximates the sample mean as the sample size increases to infinity?

6

If the Central Limit Theorem applies, we can infer that:

7

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?

8

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?

9

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?

10

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?

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