Question 1

A sample of 92 observations is taken from an infinite population. The sampling distribution of   is approximately

Accepted Answer

A)  normal because   is always approximately normally distributed. 
B)  normal because the sample size is small in comparison to the population size. 
C)  normal because of the central limit theorem. 
D)  none of these alternatives is correct. 
A)  normal because   is always approximately normally distributed. 
B)  normal because the sample size is small in comparison to the population size. 
C)  normal because of the central limit theorem. 
D)  none of these alternatives is correct.

Question 2

Any set of data that is too large or too complex to be handed by standard data-processing techniques and typical desktop software is called which of the following?

Accepted Answer

A)  Big data 
B)  Large data 
C)  Compound data 
D)  Complex data 
A)  Big data 
B)  Large data 
C)  Compound data 
D)  Complex data

Question 3

In point estimation

Accepted Answer

A)  data from the population is used to estimate the population parameter. 
B)  data from the sample is used to estimate the population parameter. 
C)  data from the sample is used to estimate the sample statistic. 
D)  the mean of the population equals the mean of the sample. 
A)  data from the population is used to estimate the population parameter. 
B)  data from the sample is used to estimate the population parameter. 
C)  data from the sample is used to estimate the sample statistic. 
D)  the mean of the population equals the mean of the sample.

Question 4

A population has a mean of 60 and a standard deviation of 18. A sample of 81 observations will be taken. The probability that the sample mean will be larger than 64 is

Accepted Answer

A)  0.5228. 
B)  0.9772. 
C)  0.4772. 
D)  0.0228. 
A)  0.5228. 
B)  0.9772. 
C)  0.4772. 
D)  0.0228.

Question 5

As the sample size increases, the variability among the sample means

Accepted Answer

A)  increases. 
B)  decreases. 
C)  remains the same. 
D)  depends upon the specific population being sampled. 
A)  increases. 
B)  decreases. 
C)  remains the same. 
D)  depends upon the specific population being sampled.

Question 6

When some segments of the population are either more or less likely to respond to the survey mechanism is which of the following nonsampling errors?

Accepted Answer

A)  Coverage error 
B)  Nonresponse error 
C)  Measurement error 
D)  Research error 
A)  Coverage error 
B)  Nonresponse error 
C)  Measurement error 
D)  Research error

Question 7

Which of the following is(are) point estimator(s)?

Accepted Answer

A)  σ 
B)  μ 
C)  s 
D)  α 
A)  σ 
B)  μ 
C)  s 
D)  α

Question 8

Which of the following attributes or dimensions of big data is described as the reliability of data generated?

Accepted Answer

A)  Volume 
B)  Variety 
C)  Veracity 
D)  Velocity 
A)  Volume 
B)  Variety 
C)  Veracity 
D)  Velocity

Question 9

The purpose of statistical inference is to provide information about the

Accepted Answer

A)  sample based upon information contained in the population. 
B)  population based upon information contained in the sample. 
C)  population based upon information contained in the population. 
D)  mean of the sample based upon the mean of the population. 
A)  sample based upon information contained in the population. 
B)  population based upon information contained in the sample. 
C)  population based upon information contained in the population. 
D)  mean of the sample based upon the mean of the population.

Question 10

The sample statistic, such as   , s, or   , that provides the point estimate of the population parameter is known as a

Accepted Answer

A)  point estimator. 
B)  parameter. 
C)  population parameter. 
D)  population statistic. 
A)  point estimator. 
B)  parameter. 
C)  population parameter. 
D)  population statistic.

Question 11

As the sample size increases, the

Accepted Answer

A)  standard deviation of the population decreases. 
B)  population mean increases. 
C)  standard error of the mean decreases. 
D)  standard error of the mean increases. 
A)  standard deviation of the population decreases. 
B)  population mean increases. 
C)  standard error of the mean decreases. 
D)  standard error of the mean increases.

Question 12

The following data was collected from a simple random sample of a population.   The mean of the population

Accepted Answer

A)  is 14. 
B)  is 15. 
C)  is 15.1581. 
D)  could be any value. 
A)  is 14. 
B)  is 15. 
C)  is 15.1581. 
D)  could be any value.

Question 13

A random sample of 144 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.3 ounces. In this problem the 0.3 is

Accepted Answer

A)  a parameter. 
B)  a statistic. 
C)  the standard error of the mean. 
D)  the average content of colognes in the long run. 
A)  a parameter. 
B)  a statistic. 
C)  the standard error of the mean. 
D)  the average content of colognes in the long run.

Question 14

How many simple random samples of size 3 can be selected from a population of size 8?

Accepted Answer

A)  336 
B)  24 
C)  56 
D)  6561 
A)  336 
B)  24 
C)  56 
D)  6561

Question 15

When the population has a normal distribution, the sampling distribution of   is normally distributed for any sample

Accepted Answer

A)  size. 
B)  size of 30 or more. 
C)  size of 50 or more. 
D)  from a finite population. 
A)  size. 
B)  size of 30 or more. 
C)  size of 50 or more. 
D)  from a finite population.

Question 16

The standard deviation of   is referred to as the _____ proportion.

Accepted Answer

A)  standard 
B)  sample mean 
C)  deviated 
D)  standard error of the 
A)  standard 
B)  sample mean 
C)  deviated 
D)  standard error of the

Question 17

A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

Accepted Answer

A)  500 and 0.047. 
B)  500 and 0.050. 
C)  0.5 and 0.047. 
D)  0.5 and 0.050. 
A)  500 and 0.047. 
B)  500 and 0.050. 
C)  0.5 and 0.047. 
D)  0.5 and 0.050.

Question 18

A simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation were determined to be 360 and 120 respectively. The standard error of the mean is

Accepted Answer

A)  3.33. 
B)  3. 
C)  10. 
D)  20. 
A)  3.33. 
B)  3. 
C)  10. 
D)  20.

Question 19

The closer the sample mean is to the population mean,

Accepted Answer

A)  the larger the sampling error. 
B)  the smaller the sampling error. 
C)  the sampling error equals 1. 
D)  none of these alternatives is correct. 
A)  the larger the sampling error. 
B)  the smaller the sampling error. 
C)  the sampling error equals 1. 
D)  none of these alternatives is correct.

Question 20

A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within ±2 of the population mean?

Accepted Answer

A)  0.6826 
B)  0.3413 
C)  -0.6826 
D)  Since the mean is not given, there is no answer to this question. 
A)  0.6826 
B)  0.3413 
C)  -0.6826 
D)  Since the mean is not given, there is no answer to this question.

Exam 7: Sampling and Sampling Distributions

A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately

Any set of data that is too large or too complex to be handed by standard data-processing techniques and typical desktop software is called which of the following?

In point estimation

A population has a mean of 60 and a standard deviation of 18. A sample of 81 observations will be taken. The probability that the sample mean will be larger than 64 is

As the sample size increases, the variability among the sample means

When some segments of the population are either more or less likely to respond to the survey mechanism is which of the following nonsampling errors?

Which of the following is(are) point estimator(s)?

Which of the following attributes or dimensions of big data is described as the reliability of data generated?

The purpose of statistical inference is to provide information about the

The sample statistic, such as , s, or , that provides the point estimate of the population parameter is known as a

As the sample size increases, the

The following data was collected from a simple random sample of a population. The mean of the population

A random sample of 144 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.3 ounces. In this problem the 0.3 is

How many simple random samples of size 3 can be selected from a population of size 8?

When the population has a normal distribution, the sampling distribution of is normally distributed for any sample

The standard deviation of is referred to as the _____ proportion.

A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

A simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation were determined to be 360 and 120 respectively. The standard error of the mean is

The closer the sample mean is to the population mean,

A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within ±2 of the population mean?

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

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