Deck 22: Sample Survey

Question 1

The entity on which data are collected is

A)the sample
B)the element
C)the population
D)termed a census

Answer 1

B

Question 2

A sampling unit

A)must have one element
B)may include several elements
C)can not include more than one element
D)None of these alternatives is correct.

Answer 2

B

Question 3

Probabilistic sampling is any method of sampling in which

A)the probability of the occurrence of various events in the study are known
B)there are only two possible outcomes,such as P(A)and P(A^c)
C)the probability of each possible sample can be computed
D)the probability of each possible sample is one

Answer 3

C

Question 4

A sample selected in such a manner that each sample of size n has the same probability of being selected is

A)a convenience sample
B)a judgment sample
C)nonprobabilistic sampling
D)a simple random sample

Question 5

Convenience sampling is an example of

A)probabilistic sampling
B)sampling where the probabilities are known
C)nonprobabilistic sampling
D)None of these alternatives is correct.

Question 6

Cluster sampling is

A)a nonprobability sampling method
B)the same as convenience sampling
C)a probability sampling method
D)None of these alternatives is correct.

Question 7

The error that occurs because a sample,and not the entire population,is used to estimate a population parameter is a

A)nonsampling error
B)sampling error
C)judgment error
D)standard error

Question 8

A list of the sampling units for a study is

A)the sampled population
B)called the frame
C)the same as the sample
D)the sample space

Question 9

The target population and the sampled population

A)are always the same
B)are not always the same
C)must be the same for the results to be accurate
D)None of these alternatives is correct.

Question 10

A target population is

A)the population from which the sample is actually selected
B)the population for which inferences are to be made
C)always the same as the sampled population
D)the same as the sample

Question 11

The units that are selected for sampling constitute the

A)sample
B)population
C)frame
D)sampling unit

Question 12

Conclusions drawn from a sample survey

A)apply only to the sample
B)apply to any population
C)apply only to the sampled population
D)None of these alternatives is correct.

Question 13

Which of the following is an example of nonprobabilistic sampling?

A)simple random sampling
B)stratified simple random sampling
C)cluster sampling
D)judgment sampling

Question 14

Stratified random sampling is a method of selecting a sample in which

A)the sample is first divided into strata,and then random samples are taken from each stratum
B)various strata are selected from the sample
C)the population is first divided into strata,and then random samples are drawn from each stratum
D)None of these alternatives is correct.

Question 15

A survey of a subset of a population is called a

A)sample survey
B)target survey
C)sampled population
D)survey of element

Question 16

Which of the following sampling methods is a probabilistic sampling method?

A)judgment sampling
B)convenience sampling
C)cluster sampling
D)None of these alternatives is correct.

Question 17

Any method of sampling for which the probability of selecting a sample can not be computed is termed

A)probability sampling
B)nonprobabilistic sampling
C)unknown population sampling
D)None of these alternatives is correct.

Question 18

A number added to and subtracted from a point estimate to create an approximate 95% confidence interval is known as

A)cluster of points
B)bound on sampling error
C)area point estimation
D)systematic sampling error

Question 19

The population from which the sample is actually selected is

A)always the target population
B)the census
C)the selected sample
D)the sampled population

Question 20

A survey of an entire population is called

A)population analysis
B)population
C)census
D)target population

Question 21

Exhibit 22-3
From a population of size 600,a simple random sample of size 58 is selected.The sample mean is 400,and the sample standard deviation is 40.
Refer to Exhibit 22-3.The population total is

A)3,944
B)16,000
C)240,000
D)24,000

Question 22

Exhibit 22-2
A simple random sample of 43 elements has been selected from a population of size 800.The sample mean is 500,and the sample standard deviation is 60.
Refer to Exhibit 22-2.An approximate 95% confidence interval for the population total is

A)482 to 517
B)385,759 to 414,241
C)400,000 to 500,000
D)350,000 to 450,000

Question 23

Sampling errors can

A)be avoided by increasing the sample size to at least 30
B)be avoided if the sample is increased so that it will be at least 5% of the population
C)be avoided by using probabilistic sampling
D)not be avoided

Question 24

Errors such as measurement error,processing error,and interviewer error are

A)sampling errors
B)nonsampling errors
C)could be either sampling or nonsampling errors
D)impossible to detect

Question 25

The advantage of nonprobabilistic sampling is that it is inexpensive and

A)provides statistically valid statements about the precision of the estimate
B)can provide valid parameter estimates
C)is error free
D)None of these alternatives is correct.

Question 26

Which of the following is(are)the most common type(s)of surveys?

A)only mail surveys
B)only telephone surveys
C)only personal interviews
D)All of these answers are correct.

Question 27

A version of cluster sampling in which the elements are formed into clusters on the basis of their geographic proximity is

A)stratified simple random sampling
B)random sampling
C)judgment sampling
D)area sampling

Question 28

Exhibit 22-2
A simple random sample of 43 elements has been selected from a population of size 800.The sample mean is 500,and the sample standard deviation is 60.
Refer to Exhibit 22-2.An approximate 95% confidence interval for the population mean is

A)482.2 to 517.8
B)440.0 to 560.0
C)500.0 to 560.0
D)440.0 to 500.0

Question 29

In a sample survey,it is common practice to use a t value of (when approximating a 95% confidence interval)

A)1
B)2
C)3
D)4

Question 30

Exhibit 22-3
From a population of size 600,a simple random sample of size 58 is selected.The sample mean is 400,and the sample standard deviation is 40.
Refer to Exhibit 22-3.An estimate of the standard error of the mean is

A)4.0
B)5.0
C)6.0
D)7.0

Question 31

Exhibit 22-2
A simple random sample of 43 elements has been selected from a population of size 800.The sample mean is 500,and the sample standard deviation is 60.
Refer to Exhibit 22-2.The population total is

A)34,400
B)21,500
C)400,000
D)500,000

Question 32

Exhibit 22-2
A simple random sample of 43 elements has been selected from a population of size 800.The sample mean is 500,and the sample standard deviation is 60.
Refer to Exhibit 22-2.The standard error of the mean is

A)9.2
B)43.0
C)1.6
D)8.9

Question 33

Exhibit 22-3
From a population of size 600,a simple random sample of size 58 is selected.The sample mean is 400,and the sample standard deviation is 40.
Refer to Exhibit 22-3.An approximate 95% confidence interval for the population total is

A)350,000 to 450,000
B)234,010 to 245,990
C)350 to 400
D)390 to 409

Question 34

An unbiased estimate of the population total is given by the

A)sample mean multiplied by the size of the sample
B)sample mean multiplied by the size of the population
C)sample size multiplied by the standard error
D)standard deviation divided by the square root of the sample size

Question 35

Exhibit 22-4
Simple random sampling has been used to obtain a sample of size 50 from a population of size 500.The sample proportion was 0.7.
Refer to Exhibit 22-4.The estimate of the standard error of proportion is

A)0.210
B)0.700
C)0.300
D)0.062

Question 36

Exhibit 22-3
From a population of size 600,a simple random sample of size 58 is selected.The sample mean is 400,and the sample standard deviation is 40.
Refer to Exhibit 22-3.An approximate 95% confidence interval for the population mean is

A)395 to 405
B)380 to 420
C)360 to 440
D)390 to 410

Question 37

Exhibit 22-1
A simple random sample of size 64 is taken from a population of size 800.The sample mean is determined to be 2,550 with a standard deviation of 500.
Refer to Exhibit 22-1.The point estimate of the population total is

A)51,200
B)1,275,000
C)102,000
D)2,040,000

Question 38

Exhibit 22-1
A simple random sample of size 64 is taken from a population of size 800.The sample mean is determined to be 2,550 with a standard deviation of 500.
Refer to Exhibit 22-1.An estimate of the standard error of the mean (for the total)is

A)62,500.50
B)47,958.32
C)7.8125
D)50,000.00

Question 39

With nonprobabilistic sampling

A)it is possible to make estimates about the precision of the population parameters
B)it is not possible to make statements about the precision of estimates made concerning the population parameters
C)the precision can be estimated if the sample is larger than 30
D)None of these alternatives is correct.

Question 40

A method of selecting a sample by randomly selecting the first element and then selecting every K^th element thereafter is

A)area sampling
B)stratified sampling
C)systematic sampling
D)stratified simple random sampling

Question 41

We are interested in selecting a sample from a population of size 4,000 in order to develop an approximate 95% confidence interval estimate of the population mean.A pilot study has resulted in a standard deviation of 600.What should be the sample size if we do not want the sampling error to exceed 200?

Question 42

A sample of 5 clusters is to be taken from a population with N = 30 clusters and M = 300 elements in the population.The values of M_i and X_i for each cluster are shown below.

a.Determine the point estimate of the population mean.
b.Determine the standard error of the mean.
c.Develop a 95% confidence interval for the population mean.
d.Determine the point estimator of the population total.
e.Approximate a 95% confidence interval estimate of the population total.

Question 43

From a population of 2000 accounts receivable,a simple random sample of 120 accounts is selected.Thirty-six of the accounts in the sample were overdue.
a.Estimate the standard error of the proportion of the overdue accounts.
b.Develop an approximate 95% confidence interval for the proportion of overdue accounts in the population.

Question 44

The accounting firm of Nancy Ahmadi & Associates (NAA)was commissioned to audit a population of 500 accounts.For this audit,NAA selected a simple random sample of 64 accounts.The sample showed an average discrepancy of $120 with a standard deviation of $24.
a.Estimate the population total discrepancy.
b.Develop an approximate 95% confidence interval for the population total discrepancy.

Question 45

Assume simple random sampling has been used,and the following information was obtained.

a.Estimate the standard error of the mean.
b.Develop an approximate 95% confidence interval for the population mean.

Question 46

A university has 5,000 students.The manager of food services at the university is interested in determining the total lunch expenditure.A simple random sample of 121 lunch receipts was selected.The sample showed an average of $3 with a standard deviation of $0.40.
a.Estimate the standard error of the sample mean.
b.Develop an approximate 95% confidence interval for the population mean.
c.Estimate the population's total expenditure for lunch.
d.Develop an approximate 95% confidence interval for the total expenditure for lunch.

Question 47

Nancy Joon,Inc.has 1500 employees.A simple random sample of 81 employees was selected,and the individuals in the sample were asked how much they contribute (monthly)to their retirement accounts.The sample mean,
,was $150 with a standard deviation,s,of $45.
a.Estimate the standard error of the mean.
b.Develop an approximate 95% confidence interval for the population mean.

Question 48

Exhibit 22-4
Simple random sampling has been used to obtain a sample of size 50 from a population of size 500.The sample proportion was 0.7.
Refer to Exhibit 22-4.An approximate 95% confidence interval for the population proportion is

A)0.500 to 0.700
B)0.750 to 0.810
C)0.576 to 0.824
D)0.638 to 0.762

Question 49

A stratified simple random sample has been taken with the following results.

a.Determine a point estimate for the mean of the population.
b.Estimate the standard error of the mean.
c.Approximate a 95% confidence interval for the population mean.
d.Compute the population total.
e.Determine a 95% confidence interval for the population total.

Question 50

A simple random sample of size 36 is selected from a population of size 750.The sample mean is 318,and the sample standard deviation is found to be 30.
a.Estimate the standard error of the mean.
b.Develop an approximate 95% confidence interval for the population mean.

Question 51

The following are the results provided by a stratified simple random sample.

a.Determine a point estimate for the mean of the population.
b.Estimate the standard error of the mean.
c.Approximate a 95% confidence interval for the population mean.
d.Compute the population total.
e.Determine a 95% confidence interval for the population total.

Question 52

Simple random sampling has been used to obtain a sample of 81 elements from a population of size 500.The sample mean is 120,and the sample standard deviation is determined to be 36.
a.Estimate the standard error of the mean.
b.Develop an approximate 95% confidence interval for the population mean.
c.Estimate the population total.
d.Develop an approximate 95% confidence interval for the population total.

Question 53

The following are the results of a stratified random sample.

a.Determine the point estimator of the population proportion.
b.Estimate the standard error of the population proportion.
c.Develop an approximate 95% confidence interval for the population proportion.

Question 54

From a population consisting of 8,000 elements,a sample of size 121 is selected.The sample has a mean of 4,000 and a standard deviation of 600.
a.Estimate the standard error of the mean.
b.Develop an approximate 95% confidence interval for the population mean.
c.Estimate the population total.
d.Develop an approximate 95% confidence interval for the population total.

Question 55

A community has 2,000 registered voters.A pilot study revealed that 70% of the individuals are planning to vote for the incumbent mayor.We are interested in selecting a sample.So that the sampling error will not exceed 4%,what size sample should be taken?

Question 56

Simple random sampling has been used to obtain a sample of n = 40 elements from a population of N=300.The sample proportion
a.Estimate the standard error of the proportion.
b.Develop an approximate 95% confidence interval for the population proportion.

Question 57

A stratified simple random sample has been taken with the following results.

a.Determine the point estimator of the population proportion.
b.Estimate the standard error of the population proportion.
c.Develop an approximate 95% confidence interval for the population proportion.

Question 58

Simple random sampling has been used to obtain a sample of size 60 from a population of size 700.The sample mean was 500 with a standard deviation of 60.
a.Estimate the standard error of the mean.
b.Develop an approximate 95% confidence interval for the population mean.

Question 59

A random sample of 60 elements was selected from a population of size 400.The sample proportion
a.Estimate the standard error of the proportion.
b.Develop an approximate 95% confidence interval for the population proportion.

Question 60

A company has 600 employees.A random sample of 49 employees took a computer literacy test.The sample resulted in a mean score of 75 with a standard deviation of 21.
a.Estimate the standard error of the mean.
b.Develop an approximate 95% confidence interval for the population mean of the 600 employees.

Question 61

A sample of 4 clusters is to be taken from a population with N = 50 clusters and M = 800 elements in the population.The values of M_i and X_i for each cluster are shown below.

a.Determine the point estimate of the population mean.
b.Determine the standard error of the mean.
c.Develop a 95% confidence interval for the population mean.
d.Determine the point estimator of the population total.
e.Approximate a 95% confidence interval estimate of the population total.

Question 62

A sample of 4 clusters is to be taken from a population with N = 40 clusters and M = 600 clusters in the population.The values of M_i and a_i are given below.

a.Determine the point estimator of the population proportion.
b.Determine an approximate 95% confidence interval estimate for the population proportion.

Question 63

A sample of 5 clusters is to be taken from a population with N = 30 clusters and M = 420 clusters in the population.The values of M_i and a_i are shown below.

a.Determine the point estimator of the population proportion.
b.Determine an approximate 95% confidence interval estimate for the population proportion.