Sampling Distributions Quiz Review

Researchers will conduct a study of the television-viewing habits of children. They will select a simple random sample of children and record the number of hours of television the children watch per week. The researchers will report the sample mean as a point estimate for the population mean. Which of the following statements is correct for the sample mean as a point estimator?

• A sample of size 25 will produce more variability of the estimator than a sample of size 50.

• A sample of size 25 will produce less variability of the estimator than a sample of size 50.

• 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 a more biased estimator than a sample of size 50.

• A sample of size 25 will produce a less biased estimator than a sample of size 50.

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

What happens to the shape of a sampling distribution of sample means as n increases?

• It becomes narrower and bimodal.
• It becomes narrower and more normal.
• It becomes wider and skewed right. 
• It becomes wider and more normal. 

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population
• The Sample
• The Sampling Distribution

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

To evaluate the defect rate of its memory chips, an integrated circuit manufacturer tests every 100th chip off the production line.

• Biased Sample

• Unbiased Sample

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

A real estate agent surveys people about their housing preferences at an open house for a luxury townhouse.

• Biased Sample

• Unbiased Sample

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

The following graphs show the sampling distributions for two different point estimators, R and W, of the same population parameter.

Which of the following statements is true?

• Both R and W are unbiased.

• R is biased, and W is unbiased

• Both R and W are biased.

• R is unbiased, and W is biased.

• The assessment of bias is not possible, because the sampling distributions display too much variability.

Identify the Population:
Wicomico County Public Schools randomly selected 230 teachers to find out which technology resource it's teachers feel is the most effective.

• 230 Teachers
• All Wicomico County Teachers
• Students
• Wicomico County Public Schools

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

Identify the Sample:
A restaurant wants to know if their customers buy dessert when they eat out. As people leave the restaurant one evening, 20 people are surveyed at random. Eight people say they usually order dessert when they eat out. The restaurant concluded that most customers do not order dessert.

• 20 customers
• All customers
• 8 customers
• Dessert

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5

The average annual salary for 35 of a company's 1200 accountants is $68,000.

• parameter
• statistic

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

In a recent year, the interest category for 12% of all new magazines was sports.

• parameter
• statistic

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CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5