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Multiple Choice Quiz
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Chapter 16 Quiz - Sampling Methods



1

In stratified random sampling with strata weights 0.4, 0.1, and 0.5, and standard deviations 10, 15, and 20, and sample sizes 100, 50, and 100, the variance of the sample mean is?
A)0
B)1,000
C)1.205
D)3.538
E)none of the above
2

The Neyman allocation considers:
A)strata weights
B)strata standard deviations
C)strata sampling costs
D)all of the above
E)none of the above
3

A market analyst is interested in finding the mean profit of all restaurants in a particular region. The restaurants can be divided into three categories: fast food, take-out order, and formal restaurants. Random samples of 20 restaurants from each group are selected and the mean profits are found to be $120,000, $87,000, and $167,000, with variance (in thousands) of 100,000, 144,000, and 306,250, respectively.
R-1 A

Compute the stratified estimate of the mean.

A)123,667
B)6,183
C)18,550
D)183,417
E)none of the above
4

A market analyst is interested in finding the mean profit of all restaurants in a particular region. The restaurants can be divided into three categories: fast food, take-out order, and formal restaurants. Random samples of 20 restaurants from each group are selected and the mean profits are found to be $120,000, $87,000, and $167,000, with variance (in thousands) of 100,000, 144,000, and 306,250, respectively.
R-1 A

Compute the standard error of the stratified estimate of the mean.

A)183,417
B)61,139
C)41,013
D)105,895
E)none of the above
5

An employment agency wants to estimate the mean income of recent graduates from a business college who major in Marketing, Finance, Accounting, and Economics. The number of graduates each year from each strata is as follows: Marketing-35; Finance-55; Accounting-40; and Economics-25. A random sample of 62 graduates is selected, with proportional allocation. The sample results are as follows:

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070620164/235044/q16_5.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (9.0K)</a>

Give a stratified estimate of the mean income of recent graduates of that college.

A)68,467
B)27,387
C)4,244,985
D)25,506
E)none of the above
6

A survey is conducted to find the proportion of qualified electricians out of workers who were doing electrical work and were qualified electricians employed in steel plants over the northeastern region. Five nearby steel plants from a total of 32 in the region are selected.

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Estimate the proportion of electricians among the electrical workers in the steel industry.

A)21.6%
B)25.75%
C)21.91%
D)27.82%
E)none of the above
7

To find the number of people traveling per car in the evening between 5:00 pm and 6:00 pm on a particular highway, every fifteenth car in a lane is sampled. The first car to be sampled is chosen at a random instant in time. The following data is obtained:

2, 1, 1, 3, 1, 1, 2, 4, 1, 2, 1, 3, 2, 1, 2, 1, 1, 1, 3, 1, 1, 4, 1, 1, 1

Assume that 600 cars pass through that lane during the time.

R-2 B

Compute the systematic sampling estimator of the population mean.

A)0.0028
B)0.07
C)2.8
D)16.8
E)none of the above
8

Compute the estimated variance of the systematic sampling estimate of the population mean.
A)0.0379
B)0.1384
C)0.189
D)0.372
E)none of the above
9

A university has 5,000 students, belonging to the following classes: 1,500 are freshmen, 1,200 are sophomores, 1,400 are juniors, and 900 are seniors. The university administration wants to get an estimate of all the students' views on a proposal to help alleviate the parking problem on campus. Suppose that a sample of 100 students is chosen. What is the required sample size for the freshman stratum under proportional allocation?
A)3
B)33.3
C)30
D)50
E)none of the above





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