Question 1

The sign test is the nonparametric counterpart of the:

Accepted Answer

A) Small sample t test about a single population mean 
B) Two independent samples t test 
C) One way ANOVA F test 
D) Paired difference t test 
E) F test for equality of population variances 
A) Small sample t test about a single population mean 
B) Two independent samples t test 
C) One way ANOVA F test 
D) Paired difference t test 
E) F test for equality of population variances

Question 2

An e-business/e-commerce information technology consulting company wants to compare the effectiveness of three programming languages that its programmers use.Currently each programming language is used by approximately 1/3 of the programmers employed by the company.The director of the programming division randomly selected 5 programmers from the users of each of the three programming languages and assigned the same simple programming task to each programmer.It is known that all three populations have highly skewed distributions with extreme outliers.Which one of the following nonparametric tests is appropriate for this problem?

Accepted Answer

A) Wilcoxon signed rank test 
B) Wilcoxon rank sum test 
C) Sign test 
D) Kruskall-Wallis test 
E) Spearman's rank correlation test 
A) Wilcoxon signed rank test 
B) Wilcoxon rank sum test 
C) Sign test 
D) Kruskall-Wallis test 
E) Spearman's rank correlation test

Question 3

Refer to the Mega-Stat/Excel output for the Wilcoxon rank sum test given in the table below.
$\text { Wilcoxon - Mann/Whitney Test }$
$\begin{array} { l  }
\quad2\quad\quad\text { sum of ranks }\
\begin{array}{|c|c|}
\hline 10\quad\quad \quad& 66.5\quad \
\hline 10 & 143.5 \
\hline 
\end{array}&\begin{array} { l  }
\text { Group } 1\\text { Group } 2\
\end{array}\
\quad 20\quad\quad\quad\quad210&\text { total }\
\end{array}$

105.00 $\quad$expected value 
13.07$\quad$ standard deviation 
$ -2.91\quad \mathrm{z} $, corrected for ties
$ .0018\quad \mathrm{p} $-value (two-
tailed)
-At a significance level of .05,which one of the following statements is correct when the alternative hypothesis is Ha: D1 is shifted to the left of D2?

Accepted Answer

A) We reject H0 and conclude there is very strong evidence that D1 is shifted to the right or left of D2. 
B) We reject H0 and conclude there is very strong evidence that D1 is shifted to the left of D2. 
C) We failed to reject H0 and conclude there is not sufficient evidence that D1 is shifted to the left of D2. 
D) We failed to reject H0 and conclude there is not sufficient evidence to conclude that D1 is not shifted to the right or left of D2. 
E) We failed to reject H0 and conclude there is very strong evidence that D1 is shifted to the left of D2. 
A) We reject H0 and conclude there is very strong evidence that D1 is shifted to the right or left of D2. 
B) We reject H0 and conclude there is very strong evidence that D1 is shifted to the left of D2. 
C) We failed to reject H0 and conclude there is not sufficient evidence that D1 is shifted to the left of D2. 
D) We failed to reject H0 and conclude there is not sufficient evidence to conclude that D1 is not shifted to the right or left of D2. 
E) We failed to reject H0 and conclude there is very strong evidence that D1 is shifted to the left of D2.

Question 4

A sign test is a test of hypothesis about the population mean.

Accepted Answer

A) True 
 B)False

Question 5

A study was conducted to investigate the effect of an intervention protocol on IQ tests.Nine randomly selected students were tested. $$\begin{array} { r r r } 
\text { Before } &  \text { After } \
100 & 106 \
111 & 112 \
93 & 95 \
92 & 90 \
99 & 107 \
85 & 100 \
117 & 126 \
110 & 105 \
98 & 110
\end{array}$$
-Set up the null and alternative hypotheses for the claim that the intervention protocol is effective in increasing scores.

Accepted Answer

H₀:The probability distribution of test s

Question 6

Five years ago,the average starting salary of a new university graduate with a major in marketing was $34,000.A random sample of 10 graduates from this year's graduating class of a local university yielded the following starting salaries in thousands of dollars: 38,36,25,37,35,24,38,45,39,36.The local university wants to determine if the starting salaries have increased in the last five years.Assume that the population of starting salaries in marketing is not normally distributed.Which one of the following tests is appropriate for this problem?

Accepted Answer

A) Wilcoxon signed rank test 
B) Wilcoxon rank sum test 
C) Sign test 
D) Kruskall-Wallis test 
E) Mann-Whitney test 
A) Wilcoxon signed rank test 
B) Wilcoxon rank sum test 
C) Sign test 
D) Kruskall-Wallis test 
E) Mann-Whitney test

Question 7

Based on this result of the test,provide a one sentence conclusion.

Accepted Answer

There is not sufficient eviden

Question 8

Refer to the Mega-Stat/Excel output for the Wilcoxon rank sum test given in the table below.
$\text { Wilcoxon - Mann/Whitney Test }$
$\begin{array} { l  }
\quad2\quad\quad\text { sum of ranks }\
\begin{array}{|c|c|}
\hline 10\quad\quad \quad& 66.5\quad \
\hline 10 & 143.5 \
\hline 
\end{array}&\begin{array} { l  }
\text { Group } 1\\text { Group } 2\
\end{array}\
\quad 20\quad\quad\quad\quad210&\text { total }\
\end{array}$

105.00 $\quad$expected value 
13.07$\quad$ standard deviation 
$ -2.91\quad \mathrm{z} $, corrected for ties
$ .0018\quad \mathrm{p} $-value (two-
tailed)
-At a significance level of .05,which one of the following rejection point conditions is correct when the alternative hypothesis is Ha: D1 is shifted to the left of D2?

Accepted Answer

A) Reject H0 if T ? 83. 
B) Reject H0 if T ? 127 
C) Reject H0 if T ? 131 
D) Reject H0 if T ? 83 
E) Reject H0 if T ? 79 
A) Reject H0 if T ? 83. 
B) Reject H0 if T ? 127 
C) Reject H0 if T ? 131 
D) Reject H0 if T ? 83 
E) Reject H0 if T ? 79

Question 9

Assume that the following data set is not normally distributed.
(21, 18, 4, 9, 14, 16, 17, 12, 15, 8, 7, 5)
-If Ha: Md < 6,then the value of S is:

Accepted Answer

A) 0 
B) 1 
C) 2 
D) 3 
E) 4 
A) 0 
B) 1 
C) 2 
D) 3 
E) 4

Question 10

Two professional football scouts are in the process of recruiting 7 new football players (receivers).After a careful review and evaluation,both scouts ranked the seven receivers in terms of their professional career prospects.If we want to determine whether the two scouts have similar opinions about the professional football career prospects of the seven players,state the null and alternative hypothesis.

Accepted Answer

The answer of Two professional football scouts are in the...

Question 11

A packaging company of dog biscuits has stipulated that the number of dog biscuits per package is to be no more than 100 on the average. A random sample of 9 packages had the following number of biscuits: 144, 85, 90, 120, 150, 105, 93, 130 and 115. Assume the population of biscuit counts per package is non-normal. The company wants to test to determine if more biscuits are going into each package than the stipulated 100.
-Is there significant evidence to conclude that more biscuits are going into each package than the stipulated 100? Test at a = .05.

Accepted Answer

Failed to reject H₀.No,there are not more

Question 12

The Wilcoxon rank sum test and the Kruskall-Wallis test both require that we take independent random samples.

Accepted Answer

A) True 
 B)False

Question 13

In order to perform the ________________ test,all of the observations in two samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.

Accepted Answer

The answer of In order to perform the ________________ test,all...

Question 14

At $\alpha$ = .05,test to determine if the protocol increases test scores.

Accepted Answer

Reject H₀ at ? = .05 so we conclude that

Question 15

Are repair times for brand A systematically higher than the repair times for brand B? Test at a = .05.
B.H0: DA and DB are identical,HA: DA is shifted to the right of DB
 $$\begin{array} { r l l l l l l l l l } 
\text { Brand A } & 160 & 159 & 171 & 155 & 136 & 128 & 173 & 143 & \
\mathrm {~T} _ { \mathrm { A } } = & ( 13.5 ) & + ( 12 ) & + ( 15 ) & + ( 11 ) & + ( 8 ) & + ( 4 ) & + ( 16 ) & + ( 10 ) & = 89.5 \
\text { Brand B } & 125 & 160 & 140 & 131 & 119 & 123 & 135 & 134 & \
\mathrm {~T} _ { \mathrm { B } } = & ( 3 ) & + ( 13.5 ) & + ( 9 ) & + ( 5 ) & + ( 1 ) & + ( 2 ) & + ( 7 ) & + ( 6 ) & = 46.5
\end{array}$$ T = 89.5
From table A15 for n1 = 8,and n2 = 8,TU = 84
Since 89.5 > 84,we reject H0 and conclude that the repair times for brand A is higher than the repair times for brand

Accepted Answer

Reject H₀,the distribution of repair time

Question 16

A ______ test is a statistical test that can be used without assuming that the sampled population(s)have a particular type of probability distribution.

Accepted Answer

The answer of A ______ test is a statistical test...

Question 17

A professional organization is attempting to determine whether salaries of hospital CFO s differ by geographical region. Five hospital CFOs were randomly selected from each of the following four regions: Maritimes, Quebec, Ontario, and Western Canada. Each CFO was then asked their annual salary. The distributions of salaries were highly skewed. The table below summarizes the results of the Kruskal-Wallis test obtained from Mega-Stat/Excel.
$$\begin{array}{l}
\text { Kruskal-Wallis Test }\
\begin{array} { c c c } 
\hline \text { Median } & n & \begin{array} { c } 
\text { Avg. } \
\text { Rank }
\end{array} \
\hline 59.00 & 5 & 17.20 \text { Group 1 } \
55.30 & 5 & 10.40 \text { Group 2 } \
54.10 & 5 & 9.10 \text { Group 3 } \
53.20 & 5 & 5.30 \text { Group } 4 \
\hline 55.70 & 20 & \text { Total } \

\hline & & 10.565 \text { H (corrected for ties) } \
& & 3 \text { d.f. } \
& & .0143 \text { p-value }
\end{array}
\end{array}$$
-In a local ice skating contest,there were 2 judges and 15 contestants.Each judge was asked to rate each contestant on a 7-point scale.The most successful candidates received a rating value of 7,while the least successful candidates received a rating value of 1.It appeared that the bivariate normal probability distribution assumption is severely violated.The City Council wants to know whether the judges have similar opinions in rating ice skating competitors.At a significance level of .01,the rejection point condition for the hypothesis test is:

Accepted Answer

A) Reject H0 if rs > .457 
B) Reject H0 if rs > .623 
C) Reject H0 if rs > .441 
D) Reject H0 if rs > .646 
E) Reject H0 if rs > .689 
A) Reject H0 if rs > .457 
B) Reject H0 if rs > .623 
C) Reject H0 if rs > .441 
D) Reject H0 if rs > .646 
E) Reject H0 if rs > .689

Question 18

The rank sum values for each of the programming groups are: T1 = 23,T2 = 48,and T3 = 49.At a = .05,does the distribution of time required to program a simple task differ in location between at least one pair of programming languages?

Accepted Answer

4.34 < 5.99,failed to reject H₀. @#IMG-DLM& It app

Question 19

The claim of a local real estate agent is that the median selling price of homes in a major city is more than $200,000. Suppose a random sample of 100 homes sold in the last six months is taken and 53 sold for over $200,000
-Using $\alpha$ = .01,test the real estate agent's claim.What do you conclude about the selling prices of the homes?

Accepted Answer

Failed to reject H₀ at ? = .01

Question 20

Consider the following pairs of observed values (x,y): (10,2), (8,3), (7,5), (5,4), (3,6), (2,9).Compute Spearman's rank correlation coefficient for this data set.

Accepted Answer

A) 0.037 
B) -0.744 
C) -0.863 
D) 0.842 
E) -0.943 
A) 0.037 
B) -0.744 
C) -0.863 
D) 0.842 
E) -0.943

The sign test is the nonparametric counterpart of the:

A sign test is a test of hypothesis about the population mean.

Based on this result of the test,provide a one sentence conclusion.

Assume that the following data set is not normally distributed. (21, 18, 4, 9, 14, 16, 17, 12, 15, 8, 7, 5) -If H_a: M_d < 6,then the value of S is:

The Wilcoxon rank sum test and the Kruskall-Wallis test both require that we take independent random samples.

In order to perform the ________________ test,all of the observations in two samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.

At $\alpha$ = .05,test to determine if the protocol increases test scores.

A ______ test is a statistical test that can be used without assuming that the sampled population(s)have a particular type of probability distribution.

The rank sum values for each of the programming groups are: T₁ = 23,T₂ = 48,and T₃ = 49.At a = .05,does the distribution of time required to program a simple task differ in location between at least one pair of programming languages?

Consider the following pairs of observed values (x,y): (10,2), (8,3), (7,5), (5,4), (3,6), (2,9).Compute Spearman's rank correlation coefficient for this data set.

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

Exam 13: Nonparametric Methods

The sign test is the nonparametric counterpart of the:

A sign test is a test of hypothesis about the population mean.

Based on this result of the test,provide a one sentence conclusion.

Assume that the following data set is not normally distributed. (21, 18, 4, 9, 14, 16, 17, 12, 15, 8, 7, 5) -If Ha: Md < 6,then the value of S is:

The Wilcoxon rank sum test and the Kruskall-Wallis test both require that we take independent random samples.

In order to perform the ________________ test,all of the observations in two samples are combined into a single set and all of the values in the single set are ranked from smallest to largest.

At α\alphaα = .05,test to determine if the protocol increases test scores.

A ______ test is a statistical test that can be used without assuming that the sampled population(s)have a particular type of probability distribution.

The rank sum values for each of the programming groups are: T1 = 23,T2 = 48,and T3 = 49.At a = .05,does the distribution of time required to program a simple task differ in location between at least one pair of programming languages?

Consider the following pairs of observed values (x,y): (10,2), (8,3), (7,5), (5,4), (3,6), (2,9).Compute Spearman's rank correlation coefficient for this data set.

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

Assume that the following data set is not normally distributed. (21, 18, 4, 9, 14, 16, 17, 12, 15, 8, 7, 5) -If H_a: M_d < 6,then the value of S is:

At $\alpha$ = .05,test to determine if the protocol increases test scores.

The rank sum values for each of the programming groups are: T₁ = 23,T₂ = 48,and T₃ = 49.At a = .05,does the distribution of time required to program a simple task differ in location between at least one pair of programming languages?