Unit 6 Quiz 1 Review (Sampling Distributions)

To reduce the variability of a sampling distribution, what should you do?

• decrease the sample size

• increase the sample size

• decrease the parameter

• increase the parameter

If we selected an SRS of 100 people from the state of Ohio and an SRS of 100 people from the city of Columbus, which sampling distribution would have the smaller standard deviation?

• Ohio

• Columbus

• Neither, the standard deviation would be the same

What must be true for a sampling distribution to be considered approximately normal? (select TWO)

A t-shirt manufacturer claims that 12% of shirts have an error in printing. A purchaser of these shirts is skeptical and decides to select a random sample of 300 shirts and calculate the proportion of the shirts that have a printing error. Is the sampling distribution approximately normal? (HINT: Use the Large Counts Condition)

• Yes

• No

When x̅ differs from sample to sample, we say this is an example of

• variability

• bias

• the large counts condition

• standard deviation

Researchers will conduct a study of the television viewing habits of children. They will select a random sample of children and record the number of hours of television the children watch per week. Which of the following statements is correct?

• A sample of size 25 will produce more variability in the sampling distribution than a sample of size 50 will.

• A sample of size 25 will produce less variability in the sampling distribution than a sample of size 50 will.

• A sample of size 25 will produce a biased estimator, but a sample size of 50 will produce an unbiased estimator.

• A sample of size 25 will produce an unbiased estimator, but a sample size of 50 will produce a biased estimator.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.2