Question 1

The standard deviation of a point estimator is the

Accepted Answer

A) standard error 
B) sample statistic 
C) point estimate 
D) sampling error 
A) standard error 
B) sample statistic 
C) point estimate 
D) sampling error

Question 2

Roger Hall, who oversees six Ford dealerships, believes that the colors chosen by customers who special-order their cars best reflect most customers' true color preferences. For that reason, he has tabulated the color requests specified in a sample of 56 Mustang coupe special orders placed this year. The sample data are listed below.   
a. What is the point estimate of the proportion of all Mustang coupe special orders that specify a color preference of black?
b. Describe the sampling distribution of   , where   is the proportion of Mustang coupe special orders that specify a color preference of black. Assume that the proportion of all Mustang coupe special orders having a color preference of black is .36. 
c. What is the probability that a simple random sample of 56 special orders will provide an estimate of the population proportion of special orders specifying the color black that is within plus or minus .05 of the actual population proportion, assuming p = .36? In other words, what is the probability that   will be between .31 and .41?

Accepted Answer

a. .32143
b. normall

Question 3

Scores for a standardized test are normally distributed with a mean of 1200 and a standard deviation of 60. A sample of 36 scores is selected.
a.What is the probability that the sample mean will be larger than 1224?
b.What is the probability that the sample mean will be less than 1230?
c.What is the probability that the sample mean will be between 1200 and 1214?
d.What is the probability that the sample mean will be greater than 1200?
e.What is the probability that the sample mean will be larger than 73.46?

Accepted Answer

a.0.0082
b

Question 4

Random samples of size 36 are taken from a process (an infinite population) whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample mean are

Accepted Answer

A) 36 and 15 
B) 20 and 15 
C) 20 and 0.417 
D) 20 and 2.5 
A) 36 and 15 
B) 20 and 15 
C) 20 and 0.417 
D) 20 and 2.5

Question 5

Doubling the size of the sample will

Accepted Answer

A) reduce the standard error of the mean to one-half its current value 
B) reduce the standard error of the mean to approximately 70% of its current value 
C) have no effect on the standard error of the mean 
D) double the standard error of the mean 
A) reduce the standard error of the mean to one-half its current value 
B) reduce the standard error of the mean to approximately 70% of its current value 
C) have no effect on the standard error of the mean 
D) double the standard error of the mean

Question 6

Ten percent of the items produced by a machine are defective. A random sample of 100 items is selected and checked for defects.
a.Determine the standard error of the proportion.
b.What is the probability that the sample will contain more than 2.5% defective units?
c.What is the probability that the sample will contain more than 13% defective units?

Accepted Answer

a.0.03
b.0

Question 7

A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of   is

Accepted Answer

A) not normal since n  30 and n(1-p) >30 
A) not normal since n  30 and n(1-p) >30

Question 8

A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

Accepted Answer

A) 0.0345 
B) 0.0819 
C) 0.6900 
D) 0.8633 
A) 0.0345 
B) 0.0819 
C) 0.6900 
D) 0.8633

Question 9

A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80.54 and 88.9 is

Accepted Answer

A) 0.0347 
B) 0.7200 
C) 0.9511 
D) None of the alternative answers is correct. 
A) 0.0347 
B) 0.7200 
C) 0.9511 
D) None of the alternative answers is correct.

Question 10

There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) which are possible equals

Accepted Answer

A) 12 
B) 15 
C) 3 
D) 16 
A) 12 
B) 15 
C) 3 
D) 16

Question 11

For a population with an unknown distribution, the form of the sampling distribution of the sample mean is

Accepted Answer

A) approximately normal for all sample sizes 
B) exactly normal for large sample sizes 
C) exactly normal for all sample sizes 
D) approximately normal for large sample sizes 
A) approximately normal for all sample sizes 
B) exactly normal for large sample sizes 
C) exactly normal for all sample sizes 
D) approximately normal for large sample sizes

Question 12

A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of   is

Accepted Answer

A) approximately normal becauseis always approximately normally distributed 
B) approximately normal because the sample size is large in comparison to the population size 
C) approximately normal because of the central limit theorem 
D) normal if the population is normally distributed 
A) approximately normal becauseis always approximately normally distributed 
B) approximately normal because the sample size is large in comparison to the population size 
C) approximately normal because of the central limit theorem 
D) normal if the population is normally distributed

Question 13

Which of the following is an example of a nonprobability sampling technique?

Accepted Answer

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

Question 14

The value of the ___________ is used to estimate the value of the population parameter.

Accepted Answer

A) population statistic 
B) sample parameter 
C) population estimate 
D) sample statistic 
A) population statistic 
B) sample parameter 
C) population estimate 
D) sample statistic

Question 15

The standard deviation of   is referred to as the

Accepted Answer

A) standard proportion 
B) sample proportion 
C) average proportion 
D) standard error of the proportion 
A) standard proportion 
B) sample proportion 
C) average proportion 
D) standard error of the proportion

Question 16

The basis for using a normal probability distribution to approximate the sampling distribution of   is

Accepted Answer

A) Chebyshev's theorem 
B) the empirical rule 
C) the central limit theorem 
D) Bayes' theorem 
A) Chebyshev's theorem 
B) the empirical rule 
C) the central limit theorem 
D) Bayes' theorem

Question 17

The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the

Accepted Answer

A) central limit theorem 
B) fact that there are tables of areas for the normal distribution 
C) assumption that the population has a normal distribution 
D) All of these answers are correct. 
A) central limit theorem 
B) fact that there are tables of areas for the normal distribution 
C) assumption that the population has a normal distribution 
D) All of these answers are correct.

Question 18

Exhibit 7-5
Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8.
-Refer to Exhibit 7-5. The mean and the standard deviation of the sampling distribution of the sample means are

Accepted Answer

A) 8.7 and 1.94 
B) 36 and 1.94 
C) 36 and 1.86 
D) 36 and 8 
A) 8.7 and 1.94 
B) 36 and 1.94 
C) 36 and 1.86 
D) 36 and 8

Question 19

Cluster sampling is

Accepted Answer

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

Question 20

Exhibit 7-5
Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8.
-There are 8,000 students at the University of Tennessee at Chattanooga. The average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36 students is selected.
a.Determine the standard error of the mean.
b.What is the probability that the sample mean will be larger than 19.5?
c.What is the probability that the sample mean will be between 25.5 and 27 years?

Accepted Answer

a.1.5
b.0.

The standard deviation of a point estimator is the

Random samples of size 36 are taken from a process (an infinite population) whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample mean are

Doubling the size of the sample will

A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of is

A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80.54 and 88.9 is

There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) which are possible equals

For a population with an unknown distribution, the form of the sampling distribution of the sample mean is

A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of is

Which of the following is an example of a nonprobability sampling technique?

The value of the ___________ is used to estimate the value of the population parameter.

The standard deviation of is referred to as the

The basis for using a normal probability distribution to approximate the sampling distribution of is

The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the

Exhibit 7-5 Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. -Refer to Exhibit 7-5. The mean and the standard deviation of the sampling distribution of the sample means are

Cluster sampling is

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

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

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Exam 7: Sampling and Sampling Distributions

The standard deviation of a point estimator is the

Random samples of size 36 are taken from a process (an infinite population) whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample mean are

Doubling the size of the sample will

A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of is

A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80.54 and 88.9 is

There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) which are possible equals

For a population with an unknown distribution, the form of the sampling distribution of the sample mean is

A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of is

Which of the following is an example of a nonprobability sampling technique?

The value of the ___________ is used to estimate the value of the population parameter.

The standard deviation of is referred to as the

The basis for using a normal probability distribution to approximate the sampling distribution of is

The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the

Exhibit 7-5 Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. -Refer to Exhibit 7-5. The mean and the standard deviation of the sampling distribution of the sample means are

Cluster sampling is

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

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters