Question 1

Which of the following statements is FALSE? The t-test to test a hypothesis regarding the equity of two population means it

Accepted Answer

A)  assumes the variable is normally distributed 
B)  is referred to a t-distribution which is completely determined by its degrees of freedom and which depends upon the number of observations in each sample 
C)  assumes the two samples are independent 
D)  applies when the variance of the variable in each population is known 
E)  THEORETICALLY applies for all size samples if the general conditions surrounding its use are satisfied 
A)  assumes the variable is normally distributed 
B)  is referred to a t-distribution which is completely determined by its degrees of freedom and which depends upon the number of observations in each sample 
C)  assumes the two samples are independent 
D)  applies when the variance of the variable in each population is known 
E)  THEORETICALLY applies for all size samples if the general conditions surrounding its use are satisfied D

Question 2

Use the following information to answer the next three questions.
  the population mean (µ) is hypothesized to be 200
  the sample mean ($ \overline{x}$) is 220
  the sample size (n) is 25 
  the unbiased sample standard ($ \hat{s}$) is 15
-The estimated value of the standard error of the mean ($ \frac{s}{x}$) is

Accepted Answer

A)  0.6. 
B)  0.9. 
C)  1.6. 
D)  2.6. 
E)  3.0. 
A)  0.6. 
B)  0.9. 
C)  1.6. 
D)  2.6. 
E)  3.0. E

Question 3

If 85 women and 80 men are daily users of a deodorant product, the variance for the appropriate test is

Accepted Answer

A)  0.0029. 
B)  0.0527. 
C)  0.00128. 
D)  none of the above. 
E)  more information is necessary in order to calculate the variance for this example. 
A)  0.0029. 
B)  0.0527. 
C)  0.00128. 
D)  none of the above. 
E)  more information is necessary in order to calculate the variance for this example. A

Question 4

(Use the following information for the next three questions.)
A researcher is interested in comparing the usage of bank debit cards by consumers in rural (r) and urban (u) areas. Each year for the past five years, she has surveyed 500 individuals (one half urban, one half rural) randomly selected from across the United States. She is specifically interested in any differences that may exist between the two groups with regard to usage. The results of the current study indicate that people in urban areas use bank debit cards 12 times per month on average ($ \overline{X}$S1U1B1uS1U1B0), while those in rural areas use bank cards 10 times per month on average ($ \overline{X}$S1U1B1rS1U1B0)
-Given that the critical value that the test statistic is to be compared with is equal to 1.645 at a 90% significance level, which of the following statements are true?

Accepted Answer

A)  The researcher should reject the null hypothesis at the 90% significance level. 
B)  The researcher might be able to reject the null hypothesis at the 95% level of significance. 
C)  The researcher cannot reject the null hypothesis at this significance level. 
D)  The researcher has provided evidence that people in urban areas use bank debit cards more than people in rural areas. 
E)  More information is needed before a decision about the null hypothesis can be made. 
A)  The researcher should reject the null hypothesis at the 90% significance level. 
B)  The researcher might be able to reject the null hypothesis at the 95% level of significance. 
C)  The researcher cannot reject the null hypothesis at this significance level. 
D)  The researcher has provided evidence that people in urban areas use bank debit cards more than people in rural areas. 
E)  More information is needed before a decision about the null hypothesis can be made.

Question 5

In which of the following situations is the calculation of the z-statistic NOT appropriate for making inferences about a single mean?

Accepted Answer

A)  The variable of interest is normally distributed in the population, $\sigma$ is known, and n (number of observations) is large. 
B)  The variable of interest is normally distributed in the population, $\sigma$ is known, and n is small. 
C)  The variable of interest is normally distributed in the population, $\sigma$ is unknown, and n is small. 
D)  The variable of interest is not normally distributed in the population, $\sigma$ is known, and n is large. 
E)  Calculation of the z-statistic is appropriate in each of these situations. 
A)  The variable of interest is normally distributed in the population, $\sigma$ is known, and n (number of observations) is large. 
B)  The variable of interest is normally distributed in the population, $\sigma$ is known, and n is small. 
C)  The variable of interest is normally distributed in the population, $\sigma$ is unknown, and n is small. 
D)  The variable of interest is not normally distributed in the population, $\sigma$ is known, and n is large. 
E)  Calculation of the z-statistic is appropriate in each of these situations.

Question 6

Use the following information to answer the next three questions.
  the population mean (µ) is hypothesized to be 200
  the sample mean ($ \overline{x}$) is 220
  the sample size (n) is 25 
  the unbiased sample standard ($ \hat{s}$) is 15
-The estimated value of the t-statistic is

Accepted Answer

A)  4.0. 
B)  5.2. 
C)  6.7. 
D)  7.2. 
E)  9.0. 
A)  4.0. 
B)  5.2. 
C)  6.7. 
D)  7.2. 
E)  9.0.

Question 7

Use the following information to answer the next three questions.
  the population mean (µ) is hypothesized to be 200
  the sample mean ($ \overline{x}$) is 220
  the sample size (n) is 25 
  the unbiased sample standard ($ \hat{s}$) is 15
-The two-tailed tabled value for the t-statistic with 24 degrees of freedom and alpha = 05 is 2.064. The 95 percent confidence interval is

Accepted Answer

A)  204.6 $\le$ µ $\le$ 230.7. 
B)  213.8 $\le$ µ $\le$ 226.2. 
C)  442.1 $\le$ µ $\le$ 448.6. 
D)  511.2 $\le$ µ $\le$ 514.9. 
E)  none of the above. 
A)  204.6 $\le$ µ $\le$ 230.7. 
B)  213.8 $\le$ µ $\le$ 226.2. 
C)  442.1 $\le$ µ $\le$ 448.6. 
D)  511.2 $\le$ µ $\le$ 514.9. 
E)  none of the above.

Question 8

(Use the following information for the next three questions.)
A researcher is interested in comparing the usage of bank debit cards by consumers in rural (r) and urban (u) areas. Each year for the past five years, she has surveyed 500 individuals (one half urban, one half rural) randomly selected from across the United States. She is specifically interested in any differences that may exist between the two groups with regard to usage. The results of the current study indicate that people in urban areas use bank debit cards 12 times per month on average ($ \overline{X}$S1U1B1uS1U1B0), while those in rural areas use bank cards 10 times per month on average ($ \overline{X}$S1U1B1rS1U1B0)
-Which of the following is the null hypothesis that the researcher should use in comparing the usage rates?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Which formula is appropriate for estimating the value of the z-statistic when the population variance  is known (where $ \overline{x}$ is the sample mean, $\sigma$µ represents the population mean, and $ \frac{s}{x}$ is the standard error of the mean.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

A market research manager wishes to verify that a set of nominal data follows an expected pattern. Which test is appropriate in this situation?

Accepted Answer

A)  a t-test if there are less than 30 observations and a z-test if there are more than 30 observations 
B)  Kolmogorov-Smirnov test 
C)  Chi-square goodness-of-fit test 
D)  F-test 
E)  None of the above is appropriate. 
A)  a t-test if there are less than 30 observations and a z-test if there are more than 30 observations 
B)  Kolmogorov-Smirnov test 
C)  Chi-square goodness-of-fit test 
D)  F-test 
E)  None of the above is appropriate.

Question 11

For large samples, use of the normal curve rather than the t distribution typically results in

Accepted Answer

A)  larger confidence intervals. 
B)  significantly more computations on the part of the researcher. 
C)  no difference in the width of the confidence intervals. 
D)  smaller confidence intervals. 
E)  b and c above. 
A)  larger confidence intervals. 
B)  significantly more computations on the part of the researcher. 
C)  no difference in the width of the confidence intervals. 
D)  smaller confidence intervals. 
E)  b and c above.

Question 12

If 85 women and 80 men are daily users of a deodorant product, the calculated z statistic is

Accepted Answer

A)  z=1.64. 
B)  z=1.96. 
C)  z=0.74. 
D)  z=0.93. 
E)  more information is necessary in order to calculate the z statistic for this example. 
A)  z=1.64. 
B)  z=1.96. 
C)  z=0.74. 
D)  z=0.93. 
E)  more information is necessary in order to calculate the z statistic for this example.

Question 13

Which of the following statistical distributions is completely determined by its degrees of freedom?

Accepted Answer

A)  Chi-square 
B)  F-test 
C)  Kolmogorov-Smirnov 
D)  normal distribution 
E)  all nonparametric distributions 
A)  Chi-square 
B)  F-test 
C)  Kolmogorov-Smirnov 
D)  normal distribution 
E)  all nonparametric distributions

Question 14

The z-statistic is appropriate if

Accepted Answer

A)  the sample is chi-square distributed and the degrees of freedom is small. 
B)  the population mean is known. 
C)  the population variance is unknown. 
D)  the distribution of the characteristic is normal or the sample is very large such that the Central-Limit Theorem is operative. 
E)  both c and d above. 
A)  the sample is chi-square distributed and the degrees of freedom is small. 
B)  the population mean is known. 
C)  the population variance is unknown. 
D)  the distribution of the characteristic is normal or the sample is very large such that the Central-Limit Theorem is operative. 
E)  both c and d above.

Which of the following statements is FALSE? The t-test to test a hypothesis regarding the equity of two population means it

If 85 women and 80 men are daily users of a deodorant product, the variance for the appropriate test is

In which of the following situations is the calculation of the z-statistic NOT appropriate for making inferences about a single mean?

Use the following information to answer the next three questions.  the population mean (µ) is hypothesized to be 200  the sample mean ( $\overline{x}$ ) is 220  the sample size (n) is 25  the unbiased sample standard ( $\hat{s}$ ) is 15 -The estimated value of the t-statistic is

A market research manager wishes to verify that a set of nominal data follows an expected pattern. Which test is appropriate in this situation?

For large samples, use of the normal curve rather than the t distribution typically results in

If 85 women and 80 men are daily users of a deodorant product, the calculated z statistic is

Which of the following statistical distributions is completely determined by its degrees of freedom?

The z-statistic is appropriate if

Marketing Research: Its Everywhere

Alternative Approaches to Marketing Intelligence

The Research Process and Problem Formulation

Research Design, Exploratory Research, and Qualitative Data

Descriptive Research

Causal Designs

Data Collection: Secondary Data

Data Collection: Primary Data

Questionnaires and Data Collection Forms

Attitude Measurement

Appendix 10: Psychological Measurement

Sampling Procedures

Sample Size

Collecting the Data: Field Procedures and Nonsampling Error

Data Analysis: Preliminary Steps

Appendix 14: Chi-Square Tests

Data Analysis: Basic Questions

Appendix 15 A: Quick Stats Review

Appendix 16 A: Analysis of Variance

Data Analysis: Investigation of Association

Multivairate Data Analysis: Discriminant Analysis, Factor Analysis, Cluster Analysis, and Multidimensional Scaling

Appendix: More Multivariate Statistical Techniques

The Research Report

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Exam 16: Data Analysis: Examination of Differences

Which of the following statements is FALSE? The t-test to test a hypothesis regarding the equity of two population means it

If 85 women and 80 men are daily users of a deodorant product, the variance for the appropriate test is

In which of the following situations is the calculation of the z-statistic NOT appropriate for making inferences about a single mean?

Use the following information to answer the next three questions.  the population mean (µ) is hypothesized to be 200  the sample mean ( x‾ \overline{x}x ) is 220  the sample size (n) is 25  the unbiased sample standard ( s^ \hat{s}s^ ) is 15 -The estimated value of the t-statistic is

Which formula is appropriate for estimating the value of the z-statistic when the population variance is known (where x‾ \overline{x}x is the sample mean, σ\sigmaσ µ represents the population mean, and sx \frac{s}{x}xs​ is the standard error of the mean.

A market research manager wishes to verify that a set of nominal data follows an expected pattern. Which test is appropriate in this situation?

For large samples, use of the normal curve rather than the t distribution typically results in

If 85 women and 80 men are daily users of a deodorant product, the calculated z statistic is

Which of the following statistical distributions is completely determined by its degrees of freedom?

The z-statistic is appropriate if

Marketing Research: Its Everywhere

Alternative Approaches to Marketing Intelligence

The Research Process and Problem Formulation

Research Design, Exploratory Research, and Qualitative Data

Descriptive Research

Causal Designs

Data Collection: Secondary Data

Data Collection: Primary Data

Questionnaires and Data Collection Forms

Attitude Measurement

Appendix 10: Psychological Measurement

Sampling Procedures

Sample Size

Collecting the Data: Field Procedures and Nonsampling Error

Data Analysis: Preliminary Steps

Appendix 14: Chi-Square Tests

Data Analysis: Basic Questions

Appendix 15 A: Quick Stats Review

Appendix 16 A: Analysis of Variance

Data Analysis: Investigation of Association

Multivairate Data Analysis: Discriminant Analysis, Factor Analysis, Cluster Analysis, and Multidimensional Scaling

Appendix: More Multivariate Statistical Techniques

The Research Report

Filters

Use the following information to answer the next three questions.  the population mean (µ) is hypothesized to be 200  the sample mean ( $\overline{x}$ ) is 220  the sample size (n) is 25  the unbiased sample standard ( $\hat{s}$ ) is 15 -The estimated value of the t-statistic is