Question 1

The one-sample runs test is a nonparametric test of randomness in the sample data.

Accepted Answer

A) True 
 B)False

Question 2

The nonparametric counterpart of the t test to compare the means of two independent populations is the _______.

Accepted Answer

A) chi-square goodness of fit test 
B) chi-square test of independence 
C) Mann-Whitney U test 
D) Wilcoxon test 
E) Friedman test 
A) chi-square goodness of fit test 
B) chi-square test of independence 
C) Mann-Whitney U test 
D) Wilcoxon test 
E) Friedman test

Question 3

The null hypothesis for a one-sample runs test is __________________.

Accepted Answer

A) "the observations in the sample are randomly generated" 
B) "the observations in the sample are not correlated" 
C) "the observations in the sample are statistically independent" 
D) "the observations in the sample are cross-linked" 
E) "the observations are systematically generated" 
A) "the observations in the sample are randomly generated" 
B) "the observations in the sample are not correlated" 
C) "the observations in the sample are statistically independent" 
D) "the observations in the sample are cross-linked" 
E) "the observations are systematically generated"

Question 4

Four types of bicycle tires are ridden in six different cities to see if the tires lasted about the same number of miles.If there are differences, then that tire could promote its durability to potential customers.Using the data in the table below and an alpha of 0.05, what is the appropriate decision? $$\begin{array} { l c c c c } 
& \text { Tire A } & \text { Tire B } & \text { Tire C } & \text { Tire D } \
\text { City 1 } & 105 & 157 & 112 & 119 \
\text { City 2 } & 142 & 124 & 132 & 144 \
\text { City 3 } & 133 & 121 & 138 & 130 \
\text { City 4 } & 98 & 136 & 110 & 119 \
\text { City 5 } & 114 & 141 & 95 & 128 \
\text { City 6 } & 117 & 138 & 129 & 140
\end{array}$$

Accepted Answer

A) Reject the null and conclude that all four tires have the same durability. 
B) Fail to reject the null and conclude that there is at least one tire whose durability is different from another tire. 
C) Reject the null and conclude that there is at least one tire whose durability is different from another tire. 
D) Fail to reject the null and conclude that all four tires have the same durability. 
E) Fail to reject the null and conclude that the durability of tires does not change by city. 
A) Reject the null and conclude that all four tires have the same durability. 
B) Fail to reject the null and conclude that there is at least one tire whose durability is different from another tire. 
C) Reject the null and conclude that there is at least one tire whose durability is different from another tire. 
D) Fail to reject the null and conclude that all four tires have the same durability. 
E) Fail to reject the null and conclude that the durability of tires does not change by city.

Question 5

The Mann-Whitney U test is a generalization of the two-sample t-test.

Accepted Answer

A) True 
 B)False

Question 6

The nonparametric alternative to the one-way analysis of variance is the _______.

Accepted Answer

A) chi-square goodness of fit test 
B) Kruskal-Wallis test 
C) Mann-Whitney U test 
D) Wilcoxon test 
E) Friedman test 
A) chi-square goodness of fit test 
B) Kruskal-Wallis test 
C) Mann-Whitney U test 
D) Wilcoxon test 
E) Friedman test

Question 7

In the Wilcoxon test of the differences between two populations, the value z statistic was calculated to be 1.80.If the level of significance is 0.10, which of the following decisions is appropriate?

Accepted Answer

A) Reject the null hypothesis 
B) Do not reject the null hypothesis 
C) Indeterminate without the sample size 
D) Indeterminate without all of the data 
E) Inconclusive 
A) Reject the null hypothesis 
B) Do not reject the null hypothesis 
C) Indeterminate without the sample size 
D) Indeterminate without all of the data 
E) Inconclusive

Question 8

The appropriate test for comparing the means of two populations using ordinal-level data from two related samples is the Wilcoxon test and not the Mann-Whitney U test.

Accepted Answer

A) True 
 B)False

Question 9

A researcher wants to determine whether the means of two independent populations are the same.She has two independent random samples, one from each population, shown in the following table:  $\quad $ $\quad $ $\quad $ $\quad $Sample I $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $Sample II
$\begin{array}{llll|lllll}
\hline 11.5 & 15.7 & 22.8 & 22.5 & 12.6 & 13.8 & 17.5 & 10.7 & 13.5 \
12.4 & 25.3 & 16.1 & 25.1 & 14.8 & 11.8 & 14.7 & 10.8 & 12.7
\end{array}$

She uses the Mann-Whitney U test and a significance level of 0.05.Then $\mu$U is ______.

Accepted Answer

A) 4.5 
B) 9 
C) 31.5 
D) 40 
E) 63 
A) 4.5 
B) 9 
C) 31.5 
D) 40 
E) 63

Question 10

Nonparametric statistical techniques are based on fewer assumptions about the population and the parameters compared to parametric statistical techniques.

Accepted Answer

A) True 
 B)False

Question 11

A table manufacturer makes tables at 12 different heights for different purposes.The CEO would like to know if customers in two different industries place the same value on each of the different heights based on a Likert scale.Ideally, the CEO would prefer that the preferences of the two industries be independent of each other.Based on this, the CEO is hoping that the Spearman correlation coefficient works out to be a _____________.

Accepted Answer

A) high positive value 
B) high negative value 
C) low positive value 
D) value near 0 
E) low negative value 
A) high positive value 
B) high negative value 
C) low positive value 
D) value near 0 
E) low negative value

Question 12

Performance records for 18 salespersons are selected to investigate whether compensation methods are a significant motivational factor. $\begin{array}{lc}\
 \text { Compensation Method } \quad\quad\quad\quad\quad\quad  \quad \text { Sales }\
\begin{array}{|l|l|l|l|l|l|l|l|}
\hline \text { Straight Salary } & 18 & 12 & 22 & 28 & 28 & & \
\hline \text { Straight Commission } & 27 & 34 & 34 & 27 & 20 & 16 & 24 \
\hline \text { Salary plus Commission } & 11 & 17 & 27 & 14 & 30 & 22 & \
\hline
\end{array}\end{array}$

A Kruskal-Wallis test performed with $\alpha$= 0.01 will result in a decision to _____.

Accepted Answer

A) reject the null hypothesis 
B) reject the alternate hypothesis 
C) do not reject the null hypothesis 
D) do no reject the alternate hypothesis 
E) do nothing 
A) reject the null hypothesis 
B) reject the alternate hypothesis 
C) do not reject the null hypothesis 
D) do no reject the alternate hypothesis 
E) do nothing

Question 13

Four types of bicycle tires are ridden in six different cities to see if the tires lasted about the same number of miles.If there are differences, then that tire could promote its durability to potential customers.Using the data in the table below and an alpha of 0.05, what is the null hypothesis? $$\begin{array} { l c c c c } 
& \text { Tire A } & \text { Tire B } & \text { Tire C } & \text { Tire D } \
\text { City 1 } & 105 & 157 & 112 & 119 \
\text { City 2 } & 142 & 124 & 132 & 144 \
\text { City 3 } & 133 & 121 & 138 & 130 \
\text { City 4 } & 98 & 136 & 110 & 119 \
\text { City 5 } & 114 & 141 & 95 & 128 \
\text { City 6 } & 117 & 138 & 129 & 140
\end{array}$$

Accepted Answer

A) The durability of the tires between the cities is equal. 
B) The durability of the tires is dependent on the city and type of tire. 
C) The durability of the tires is dependent on the type of tire. 
D) The durability between the types of tire is equal. 
E) The durability of the tires is dependent on the city. 
A) The durability of the tires between the cities is equal. 
B) The durability of the tires is dependent on the city and type of tire. 
C) The durability of the tires is dependent on the type of tire. 
D) The durability between the types of tire is equal. 
E) The durability of the tires is dependent on the city.

Question 14

An advantage of nonparametric statistics is that the computations on nonparametric statistics are usually less complicated than those for parametric statistics, particularly for small samples.

Accepted Answer

A) True 
 B)False

Question 15

Statistical techniques based on assumptions about the population from which the sample data are selected are called parametric statistics.

Accepted Answer

A) True 
 B)False

Question 16

A production run of 500 items resulted in 29 defectives items.A defective item is coded as 1 and a good item as 0.The following is an output from Minitab. 
Runs Test: Defects

Runs test for Defects

Runs above and below $\mathrm { K } = 0.058$

The observed number of runs $= 57$
The expected number of runs $= 55.636$
29 observations above K, 471 below
P-value $= 0.574$
The null hypothesis for a one-sample runs test is __________________.

Accepted Answer

A) successive items did not constitute a random sample. 
B) successive items constituted a random sample 
C) the proportion of defective items is 0.05 
D) the proportion of defective items is 0.058 
E) the distribution is binomial 
A) successive items did not constitute a random sample. 
B) successive items constituted a random sample 
C) the proportion of defective items is 0.05 
D) the proportion of defective items is 0.058 
E) the distribution is binomial

Question 17

The Kruskal-Wallis test is to be used to determine whether there is a significant difference in the satisfaction rating (alpha = 0.05)between three brands of boxed cake mix.Shoppers were asked to rate their satisfaction on various attributes and an aggregate satisfaction score ranging from 1-50 was computed.The following data were obtained: $$\begin{array} { c c c c c c } 
\text { Cake Mix A } & 19 & 21 & 25 & 22 & 33 \
\text { Cake Mix B } & 30 & 24 & 28 & 31 & 35 \
\text { Cake Mix C } & 39 & 32 & 41 & 42 & 27
\end{array}$$ For this situation, the critical (table)chi-square value is _______.

Accepted Answer

A) 15.507 
B) 7.815 
C) 9.488 
D) 5.991 
E) 3.991 
A) 15.507 
B) 7.815 
C) 9.488 
D) 5.991 
E) 3.991

Question 18

A researcher wants to determine whether the means of two independent populations are the same.She has two independent random samples, one from each population, shown in the following table:  $\quad $ $\quad $ $\quad $ $\quad $Sample I $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $Sample II
$\begin{array}{llll|lllll}
\hline 11.5 & 15.7 & 22.8 & 22.5 & 12.6 & 13.8 & 17.5 & 10.7 & 13.5 \
12.4 & 25.3 & 16.1 & 25.1 & 14.8 & 11.8 & 14.7 & 10.8 & 12.7
\end{array}$

She uses the Mann-Whitney U test and a significance level of 0.05.The sum of ranks for sample II is ______.

Accepted Answer

A) 72 
B) 73 
C) 75 
D) 77 
E) 78 
A) 72 
B) 73 
C) 75 
D) 77 
E) 78

Question 19

Correlation coefficients may be computed for parametric and nonparametric data.If the data are nonparametric, which of the following should be used?

Accepted Answer

A) Pearson correlation coefficient 
B) Spearman correlation coefficient 
C) Gaussian correlation coefficient 
D) De Moivre correlation coefficient 
E) Gossett correlation coefficient 
A) Pearson correlation coefficient 
B) Spearman correlation coefficient 
C) Gaussian correlation coefficient 
D) De Moivre correlation coefficient 
E) Gossett correlation coefficient

Question 20

Statistical techniques based on assumptions about the population from which the sample data are selected are called _______.

Accepted Answer

A) population statistics 
B) parametric statistics 
C) nonparametric statistics 
D) chi-square statistics 
E) correlation statistics 
A) population statistics 
B) parametric statistics 
C) nonparametric statistics 
D) chi-square statistics 
E) correlation statistics

The one-sample runs test is a nonparametric test of randomness in the sample data.

The nonparametric counterpart of the t test to compare the means of two independent populations is the _______.

The null hypothesis for a one-sample runs test is __________________.

The Mann-Whitney U test is a generalization of the two-sample t-test.

The nonparametric alternative to the one-way analysis of variance is the _______.

In the Wilcoxon test of the differences between two populations, the value z statistic was calculated to be 1.80.If the level of significance is 0.10, which of the following decisions is appropriate?

The appropriate test for comparing the means of two populations using ordinal-level data from two related samples is the Wilcoxon test and not the Mann-Whitney U test.

Nonparametric statistical techniques are based on fewer assumptions about the population and the parameters compared to parametric statistical techniques.

An advantage of nonparametric statistics is that the computations on nonparametric statistics are usually less complicated than those for parametric statistics, particularly for small samples.

Statistical techniques based on assumptions about the population from which the sample data are selected are called parametric statistics.

Correlation coefficients may be computed for parametric and nonparametric data.If the data are nonparametric, which of the following should be used?

Statistical techniques based on assumptions about the population from which the sample data are selected are called _______.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Statistical Quality Control

Decision Analysis

Filters

Exam 17: Nonparametric Statistics

The one-sample runs test is a nonparametric test of randomness in the sample data.

The nonparametric counterpart of the t test to compare the means of two independent populations is the _______.

The null hypothesis for a one-sample runs test is __________________.

The Mann-Whitney U test is a generalization of the two-sample t-test.

The nonparametric alternative to the one-way analysis of variance is the _______.

In the Wilcoxon test of the differences between two populations, the value z statistic was calculated to be 1.80.If the level of significance is 0.10, which of the following decisions is appropriate?

The appropriate test for comparing the means of two populations using ordinal-level data from two related samples is the Wilcoxon test and not the Mann-Whitney U test.

Nonparametric statistical techniques are based on fewer assumptions about the population and the parameters compared to parametric statistical techniques.

An advantage of nonparametric statistics is that the computations on nonparametric statistics are usually less complicated than those for parametric statistics, particularly for small samples.

Statistical techniques based on assumptions about the population from which the sample data are selected are called parametric statistics.

Correlation coefficients may be computed for parametric and nonparametric data.If the data are nonparametric, which of the following should be used?

Statistical techniques based on assumptions about the population from which the sample data are selected are called _______.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Statistical Quality Control

Decision Analysis

Filters