Question 1

If the allowed error is increased, the required sample size would decrease.

Accepted Answer

A) True 
 B)False  True

Question 2

Two samples are drawn from the same population:   Which of the following statements is true? _ _ 1-The distribution of X1 will be taller than that of X2. 2-The standard deviations of the two means are equal. 3-$\mu$1 $\neq$$\mu$2 4-The two population variances are equal.

Accepted Answer

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

Question 3

The size of a sample can be determined only by using statistical techniques.

Accepted Answer

A) True 
 B)False  False

Question 4

It is sensible to use disproportionate sampling if one of the subgroups of the population is a relatively small percentage of the population

Accepted Answer

A) True 
 B)False

Question 5

A distribution which tails off to the right and contains a few very large values is described as

Accepted Answer

A) negatively skewed 
B) platykurtic 
C) positively skewed 
D) symmetric 
A) negatively skewed 
B) platykurtic 
C) positively skewed 
D) symmetric

Question 6

If two random samples of equal size are drawn from the same population, we should expect the mean of both samples to be identical.

Accepted Answer

A) True 
 B)False

Question 7

The sample variance, S2, can be used to estimate the population variation.

Accepted Answer

A) True 
 B)False

Question 8

Use the following information for questions 
Consider a meat packing plant which produces packages of frozen
steak.Let X be the weight ounces) and assume that X is normally
distributed with $\mu$S1U1B1xS1U1B0 = 8.0 and $\sigma$S1U1B1xS1U1B0 = .5, n sample size.= 16.
-Before the sample is drawn, the probability that the sample mean will exceed 9 ounces is closest to

Accepted Answer

A) .3085 
B) .1587 
C) .1056 
D) .0256 
E) .0100 
A) .3085 
B) .1587 
C) .1056 
D) .0256 
E) .0100

Question 9

Means can only be meaningfully calculated on

Accepted Answer

A) nominal-or higher-scaled data 
B) ratio-scaled data 
C) interval-or ratio-scaled data 
D) ordinal-or higher-scaled data 
A) nominal-or higher-scaled data 
B) ratio-scaled data 
C) interval-or ratio-scaled data 
D) ordinal-or higher-scaled data

Question 10

The equation for the sample variance is 1 n S2 = $\Sigma$ Xi  - X )2     n - 1

Accepted Answer

A) True 
 B)False

Question 11

Use the following information for questions 
A soap factory produces 500-pound boxes of soap for industries.
However, the weight of the boxes varies somewhat due to the process.
Assume that the weight of each box is distributed normally with
mean = $\mu$ = 500 pounds variance =$\sigma$S1U1P12S1S1P0 = 25 poundsS1U1P12S1S1P0
Quality control takes a random sample of 25 boxes per day.Let the
weight of these boxes be denoted as XS1U1B11S1U1B0, XS1U1B12S1U1B0, ..., XS1U1B125S1U1B0.
-What happens to the standard deviation of the sample mean, if we change the sample size from 25 to 100?

Accepted Answer

A) It is decreased by a factor of 4. 
B) It is increased by a factor of 4. 
C) It is decreased by a factor of 2. 
D) It is decreased by a factor of 16. 
E) None of the above. 
A) It is decreased by a factor of 4. 
B) It is increased by a factor of 4. 
C) It is decreased by a factor of 2. 
D) It is decreased by a factor of 16. 
E) None of the above.

Question 12

The sample mean is not known, but it can be estimated from the population characteristics.

Accepted Answer

A) True 
 B)False

Question 13

Consider the following data from a random sample: 10 10   $\Sigma$$ \bar{x} $X I  = 70 $\Sigma$XI  - X )2  = 18 i=1 _

Accepted Answer

A) X = 7, S2 = 2 
B) $\mu$= 7, $\sigma$2 = 2 _ 
C) X = 7, $\sigma$2 = 2 
D) The population mean is 7 and S2 = 2 
E) It is not possible to estimate the population mean and standard deviation from the given information. 
A) X = 7, S2 = 2 
B) $\mu$= 7, $\sigma$2 = 2 _ 
C) X = 7, $\sigma$2 = 2 
D) The population mean is 7 and S2 = 2 
E) It is not possible to estimate the population mean and standard deviation from the given information.

Question 14

Which of the following statements is true?

Accepted Answer

A) The sample size required to ensure 95 percent confidence limits will be smaller than that for 90 percent confidence limits. 
B) The sample size required to ensure a smaller confidence interval will also be smaller. 
C) The only way to reduce the width of a confidence interval is to reduce the confidence requirements. 
D) The required sample size is dependent on å only. 
E) The required sample size for given error and confidence levels is independent of the population size. 
A) The sample size required to ensure 95 percent confidence limits will be smaller than that for 90 percent confidence limits. 
B) The sample size required to ensure a smaller confidence interval will also be smaller. 
C) The only way to reduce the width of a confidence interval is to reduce the confidence requirements. 
D) The required sample size is dependent on å only. 
E) The required sample size for given error and confidence levels is independent of the population size.

Question 15

If the population variance is 10 and the sample size is 16, then the standard error of the mean is 2.5.

Accepted Answer

A) True 
 B)False

Question 16

As the sample size becomes larger, the mean of the sampling distribution becomes

Accepted Answer

A) greater than the population mean 
B) smaller than the population mean 
C) equal to the population mean 
D) double that of the population mean 
A) greater than the population mean 
B) smaller than the population mean 
C) equal to the population mean 
D) double that of the population mean

Question 17

Consider the following data: _ X = 10 $\sigma$2 = 4 n = 25 The lower and upper limits of 1-a 90 percent confidence interval will be 9.36 and 10.64, respectively. 2-a 95 percent confidence interval will be 9.216 and 10.784, respectively. 3-a 90 percent confidence interval cannot be determined for the given data. 4-a 95 percent confidence interval indicates the range within which $\mu$ must lie.

Accepted Answer

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

Question 18

Which of the following is set in advance for the statistical determination of sample size?

Accepted Answer

A) sample size 
B) standard deviation 
C) sampling frame 
D) precision level 
A) sample size 
B) standard deviation 
C) sampling frame 
D) precision level

Question 19

Use the following information for questions 
Consider a meat packing plant which produces packages of frozen
steak.Let X be the weight ounces) and assume that X is normally
distributed with $\mu$S1U1B1xS1U1B0 = 8.0 and $\sigma$S1U1B1xS1U1B0 = .5, n sample size.= 16.
-The probability that X1 will exceed 9 ounces is closest to

Accepted Answer

A) .3085 
B) .1587 
C) .1056 
D) .0256 
E) .0100 
A) .3085 
B) .1587 
C) .1056 
D) .0256 
E) .0100

Question 20

Use the following information for questions 
A soap factory produces 500-pound boxes of soap for industries.
However, the weight of the boxes varies somewhat due to the process.
Assume that the weight of each box is distributed normally with
mean = $\mu$ = 500 pounds variance =$\sigma$S1U1P12S1S1P0 = 25 poundsS1U1P12S1S1P0
Quality control takes a random sample of 25 boxes per day.Let the
weight of these boxes be denoted as XS1U1B11S1U1B0, XS1U1B12S1U1B0, ..., XS1U1B125S1U1B0.
-The probability that X8 is between 495 and 505 pounds is closest to

Accepted Answer

A) .0228 
B) .3174 
C) .9772 
D) .6826 
E) .3830 
A) .0228 
B) .3174 
C) .9772 
D) .6826 
E) .3830

If the allowed error is increased, the required sample size would decrease.

The size of a sample can be determined only by using statistical techniques.

It is sensible to use disproportionate sampling if one of the subgroups of the population is a relatively small percentage of the population

A distribution which tails off to the right and contains a few very large values is described as

If two random samples of equal size are drawn from the same population, we should expect the mean of both samples to be identical.

The sample variance, S², can be used to estimate the population variation.

Means can only be meaningfully calculated on

The equation for the sample variance is 1 n S² = $\Sigma$ X_i - X )² $The equation for the sample variance is 1 n S<sup>2</sup> = \Sigma X<sub>i </sub> - X )<sup>2</sup> n - 1$ $The equation for the sample variance is 1 n S<sup>2</sup> = \Sigma X<sub>i </sub> - X )<sup>2</sup> n - 1$ n - 1

The sample mean is not known, but it can be estimated from the population characteristics.

Consider the following data from a random sample: 10 10 $Consider the following data from a random sample: 10 10 \Sigma \bar{x} X<sub> I </sub> = 70 \Sigma X<sub>I </sub> - X )<sup>2 </sup> = 18 i=1 _$ $\Sigma$ $\bar{x}$ X_I = 70 $\Sigma$ X_I - X )² = 18 i=1 _

Which of the following statements is true?

If the population variance is 10 and the sample size is 16, then the standard error of the mean is 2.5.

As the sample size becomes larger, the mean of the sampling distribution becomes

Which of the following is set in advance for the statistical determination of sample size?

A Decision Making Perspective on Marketing Intelligence

Marketing Research in Practice

The Marketing Research Process

Research Design and Implementation

Secondary Sources of Marketing Data

Standardized Sources of Marketing Data

Marketing Research on the Internet

Information Collection: Qualitative and Observational Methods

Information From Respondents: Issues in Data Collection

Information From Respondents: Survey Methods

Ttitude Measurement

Signing the Questionnaire

Xperimentation

Sampling Fundamentals

Fundamentals of Data Analysis

Hypothesis Testing: Basic Concepts and Tests of Association

Hypothesis Testing: Means and Proportions

Correlation Analysis and Regression Analysis

Iscriminant, Factor and Cluster Analysis

Multidimensional Scaling and Conjoint Analysis

Presenting the Results

Marketing-Mix Measures

Ontemporary Applications of Marketing Intelligence

Atabase Marketing, E-Commerce, Relationship

Filters

Exam 15: Sample Size and Statistical Theory

If the allowed error is increased, the required sample size would decrease.

Two samples are drawn from the same population: Which of the following statements is true? _ _ 1-The distribution of X1 will be taller than that of X2. 2-The standard deviations of the two means are equal. 3- μ\muμ 1 ≠\neq=μ\muμ 2 4-The two population variances are equal.

The size of a sample can be determined only by using statistical techniques.

It is sensible to use disproportionate sampling if one of the subgroups of the population is a relatively small percentage of the population

A distribution which tails off to the right and contains a few very large values is described as

If two random samples of equal size are drawn from the same population, we should expect the mean of both samples to be identical.

The sample variance, S2, can be used to estimate the population variation.

Means can only be meaningfully calculated on

The equation for the sample variance is 1 n S2 = Σ\SigmaΣ Xi - X )2 n - 1

The sample mean is not known, but it can be estimated from the population characteristics.

Consider the following data from a random sample: 10 10 Σ\SigmaΣxˉ \bar{x} xˉ X I = 70 Σ\SigmaΣ XI - X )2 = 18 i=1 _

Which of the following statements is true?

If the population variance is 10 and the sample size is 16, then the standard error of the mean is 2.5.

As the sample size becomes larger, the mean of the sampling distribution becomes

Which of the following is set in advance for the statistical determination of sample size?

A Decision Making Perspective on Marketing Intelligence

Marketing Research in Practice

The Marketing Research Process

Research Design and Implementation

Secondary Sources of Marketing Data

Standardized Sources of Marketing Data

Marketing Research on the Internet

Information Collection: Qualitative and Observational Methods

Information From Respondents: Issues in Data Collection

Information From Respondents: Survey Methods

Ttitude Measurement

Signing the Questionnaire

Xperimentation

Sampling Fundamentals

Fundamentals of Data Analysis

Hypothesis Testing: Basic Concepts and Tests of Association

Hypothesis Testing: Means and Proportions

Correlation Analysis and Regression Analysis

Iscriminant, Factor and Cluster Analysis

Multidimensional Scaling and Conjoint Analysis

Presenting the Results

Marketing-Mix Measures

Ontemporary Applications of Marketing Intelligence

Atabase Marketing, E-Commerce, Relationship

Filters

The sample variance, S², can be used to estimate the population variation.

The equation for the sample variance is 1 n S² = $\Sigma$ X_i - X )² $The equation for the sample variance is 1 n S<sup>2</sup> = \Sigma X<sub>i </sub> - X )<sup>2</sup> n - 1$ $The equation for the sample variance is 1 n S<sup>2</sup> = \Sigma X<sub>i </sub> - X )<sup>2</sup> n - 1$ n - 1

Consider the following data from a random sample: 10 10 $Consider the following data from a random sample: 10 10 \Sigma \bar{x} X<sub> I </sub> = 70 \Sigma X<sub>I </sub> - X )<sup>2 </sup> = 18 i=1 _$ $\Sigma$ $\bar{x}$ X_I = 70 $\Sigma$ X_I - X )² = 18 i=1 _