Properties of Single Sample Distributions

Practice Questions

AP Statistics › Properties of Single Sample Distributions

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1

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

2

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?

3

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?

4

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?

5

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?

6

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

7

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?

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

The standard deviation of a sampling distribution is called:

10

The standard deviation of a sampling distribution is called:

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