Question 1

The Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies of two populations when a paired difference experiment has been conducted.

Accepted Answer

A) True 
 B)False  False

Question 2

The Wilcoxon signed rank test is also called the Mann-Whitney test.

Accepted Answer

A) True 
 B)False  False

Question 3

Test H0: ps = 0 vs HA: ps > 0 for the relationship between tea consumption and coffee consumption at the state level at ? = .05.

Accepted Answer

The critical value is 0.643.Cannot reject the null hypothesis so we have insufficient evidence of a significant positive relationship between the amount of tea consumption per capita and the amount of coffee consumption per capita.

Question 4

A readability analysis is conducted to determine how easy four different newspapers are to read for the average citizen.The sample scores are below: $$\begin{array} { c c c c } 
\text { A } & \text { B } & \text { C } & \text { D } \
50 & 59 & 45 & 62 \
50 & 60 & 48 & 64 \
53 & 63 & 51 & 68 \
58 & 65 & 54 & 70 \
59 & 67 & 55 & 72
\end{array}$$
-Calculate TA,TB,TC,TD for the Kruskal-Wallis test.

Accepted Answer

T_A = 32.5,T

Question 5

A cholesterol test was given to 10 heart patients with high cholesterol levels.The same 10 heart patients are then given a new cholesterol-reducing drug for six months.Before the patients begin taking the drug,they are told to maintain their current diets and eating habits so that the effect of the drug can be more effectively determined.After taking the drug for six months,the same patients are given a cholesterol test again.The pharmaceutical company that manufactures the drug wants to determine if the drug is helpful in reducing cholesterol levels.Distribution of cholesterol level is not normally distributed.State the null and alternative hypothesis for this problem.

Accepted Answer

H₀:The probability distribution of choles

Question 6

Two professional football scouts (Sc)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.The rankings are given below. $$\begin{array} { c c c } 
\begin{array} { c } 
\text { Player } \
\text { (Receiver) }
\end{array} & \text { Rankings of Sc. 1 } & \text { Rankings of Sc. 2 } \
1 & 3 & 3 \
2 & 2 & 1 \
3 & 1 & 2 \
4 & 4 & 6 \
5 & 5 & 4 \
6 & 7 & 7 \
7 & 6 & 5
\end{array}$$
What is the value of di2?

Accepted Answer

A) 0 
B) 2 
C) 6 
D) 8 
E) 10 
A) 0 
B) 2 
C) 6 
D) 8 
E) 10

Question 7

In testing the significance of a population correlation coefficient using the Spearman's rank correlation coefficient,it is assumed that all possible combinations of values of variable X and variable Y have a bivariate normal probability distribution.

Accepted Answer

A) True 
 B)False

Question 8

Which one of the following nonparametric methods can be used to determine the strength of the relationship between two variables?

Accepted Answer

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

Question 9

The claim of the manufacturer of cell phone batteries is that the median life of a battery is more than 40 hours.Suppose a random sample of 75 batteries finds that 32 have a life of more than 40 hours.Does the evidence support their claim? Which is the corresponding test statistic result?

Accepted Answer

A) -1.39 
B) 1.96 
C) -1.96 
D) 1.39 
E) 1.55 
A) -1.39 
B) 1.96 
C) -1.96 
D) 1.39 
E) 1.55

Question 10

The __________________ test is a nonparametric counterpart of a one way ANOVA F test.

Accepted Answer

The answer of The __________________ test is a nonparametric counterpart...

Question 11

What type of non-parametric statistic would generate the following excel/MegaStat output? 3.5 $\quad$$\quad$hypothesized value
6$\quad$$\quad$ median
0$\quad$$\quad$ below
0 $\quad$$\quad$equal
7 $\quad$$\quad$above
$7 \quad\quad\quad\mathrm { n }$
$\quad$$\quad$$\quad$binomial
$.0078 \quad\mathrm { p }$-value (one-tailed, upper)

Accepted Answer

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

Question 12

At $\alpha$ = .05,can it be concluded that the oral exam scores are higher than the written exam scores?

Accepted Answer

Failed to reject H₀,oral exam scores are

Question 13

Refer to the Mega-Stat/Excel output for the Wilcoxon signed rank test given in the table below.
Wilcoxon Signed Rank Test
variables: Group 1 - Group 2
5.5 sum of positive
ranks
30.5 sum of negative
ranks
$8 \quad\quad\mathrm { n }$
18.00 $\quad$expected value
5.74 $\quad$standard deviation
$- 2.18\quad \mathrm { z }$, corrected for ties
.0296 $\quad$p-value (two-
$\quad$$\quad$$\quad$tailed)
-At a significance level of .01,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 not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
B) We failed to reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
C) We reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
D) We failed to reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left or to the right of the probability distribution of population 2. 
E) We failed to reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is identical to the probability distribution of population 2. 
A) We reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
B) We failed to reject H0 and conclude there is not sufficient evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
C) We reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left of the probability distribution of population 2. 
D) We failed to reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is shifted to the left or to the right of the probability distribution of population 2. 
E) We failed to reject H0 and conclude there is very strong evidence that the probability distribution of population 1 is identical to the probability distribution of population 2.

Question 14

The Wilcoxon rank sum test is used to compares the locations of two _____________ populations.

Accepted Answer

The answer of The Wilcoxon rank sum test is used...

Question 15

If the data set consists of matched pairs collected from two dependent populations then the Wilcoxon signed rank test may be appropriate to use.

Accepted Answer

A) True 
 B)False

Question 16

On the average,can it be concluded that the machines distribute the same amount? Test at $\alpha$ = .05
Cannot reject the null hypothesis that the distributions of amounts are equal.
T = 117

Accepted Answer

From the Wilcoxon Rank Sum Tab

Question 17

Two coffee-vending machines are studied to determine whether they distribute the same amounts.Samples are taken and the amounts dispensed are recorded for each machine.What is the value of TB? $$\begin{array} { c c } 
\text { Machine A } & \text { Machine B } \
610 & 5.99 \
5.95 & 6.01 \
5.98 & 5.98 \
6.01 & 5.96 \
6.00 & 6.08 \
5.95 & 5.89 \
6.02 & 6.01 \
6.04 & 6.00 \
5.99 & 5.97 \
6.06 & 6.00
\end{array}$$

Accepted Answer

A) 117 
B) 122 
C) 93 
D) 59 
E) 119 
A) 117 
B) 122 
C) 93 
D) 59 
E) 119

Question 18

When a large sample is taken,_______________ approximation to the binomial distribution can be used to implement the sign test.

Accepted Answer

The answer of When a large sample is taken,_______________ approximation...

Question 19

A student is trying to decide if it is cheaper to order blank CDs over the internet or to buy them at local electronic stores.Listed below are the prices (in dollars)quoted for boxes of 200 blank CDs from various manufacturers.The prices are not normally distributed for either source. $\begin{array}{ll}\text { Internet }&\text { Local Electronics Stores }\
26.00 & 33.98 \
27.99 & 37.75 \
31.50 & 38.99 \
32.75 & 35.79 \
27.00 & 33.99 \
27.98 & 34.79 \
24.75 & 29.98 \
28.15 & 33.00 \
29.99 & 32.00 \
29.99 &
\end{array}$
-Set up the null and alternative hypotheses for the claim that buying over the Internet (I)is cheaper than buying from the local electronics stores (E).

Accepted Answer

H₀ :D_I and D_E are ident

Question 20

The __________________ test is a nonparametric counterpart of a small sample t test for comparing two independent population locations.

Accepted Answer

The answer of The __________________ test is a nonparametric counterpart...

The Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies of two populations when a paired difference experiment has been conducted.

The Wilcoxon signed rank test is also called the Mann-Whitney test.

Test H₀: p_s = 0 vs H_A: p_s > 0 for the relationship between tea consumption and coffee consumption at the state level at ? = .05.

A readability analysis is conducted to determine how easy four different newspapers are to read for the average citizen.The sample scores are below: A B C D 50 59 45 62 50 60 48 64 53 63 51 68 58 65 54 70 59 67 55 72 -Calculate T_A,T_B,T_C,T_D for the Kruskal-Wallis test.

In testing the significance of a population correlation coefficient using the Spearman's rank correlation coefficient,it is assumed that all possible combinations of values of variable X and variable Y have a bivariate normal probability distribution.

Which one of the following nonparametric methods can be used to determine the strength of the relationship between two variables?

The claim of the manufacturer of cell phone batteries is that the median life of a battery is more than 40 hours.Suppose a random sample of 75 batteries finds that 32 have a life of more than 40 hours.Does the evidence support their claim? Which is the corresponding test statistic result?

The __________________ test is a nonparametric counterpart of a one way ANOVA F test.

At $\alpha$ = .05,can it be concluded that the oral exam scores are higher than the written exam scores?

The Wilcoxon rank sum test is used to compares the locations of two _____________ populations.

If the data set consists of matched pairs collected from two dependent populations then the Wilcoxon signed rank test may be appropriate to use.

On the average,can it be concluded that the machines distribute the same amount? Test at $\alpha$ = .05 Cannot reject the null hypothesis that the distributions of amounts are equal. T = 117

When a large sample is taken,_______________ approximation to the binomial distribution can be used to implement the sign test.

The __________________ test is a nonparametric counterpart of a small sample t test for comparing two independent population locations.

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 Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies of two populations when a paired difference experiment has been conducted.

The Wilcoxon signed rank test is also called the Mann-Whitney test.

Test H0: ps = 0 vs HA: ps > 0 for the relationship between tea consumption and coffee consumption at the state level at ? = .05.

A readability analysis is conducted to determine how easy four different newspapers are to read for the average citizen.The sample scores are below: A B C D 50 59 45 62 50 60 48 64 53 63 51 68 58 65 54 70 59 67 55 72 -Calculate TA,TB,TC,TD for the Kruskal-Wallis test.

In testing the significance of a population correlation coefficient using the Spearman's rank correlation coefficient,it is assumed that all possible combinations of values of variable X and variable Y have a bivariate normal probability distribution.

Which one of the following nonparametric methods can be used to determine the strength of the relationship between two variables?

The claim of the manufacturer of cell phone batteries is that the median life of a battery is more than 40 hours.Suppose a random sample of 75 batteries finds that 32 have a life of more than 40 hours.Does the evidence support their claim? Which is the corresponding test statistic result?

The __________________ test is a nonparametric counterpart of a one way ANOVA F test.

At α\alphaα = .05,can it be concluded that the oral exam scores are higher than the written exam scores?

The Wilcoxon rank sum test is used to compares the locations of two _____________ populations.

If the data set consists of matched pairs collected from two dependent populations then the Wilcoxon signed rank test may be appropriate to use.

On the average,can it be concluded that the machines distribute the same amount? Test at α\alphaα = .05 Cannot reject the null hypothesis that the distributions of amounts are equal. T = 117

When a large sample is taken,_______________ approximation to the binomial distribution can be used to implement the sign test.

The __________________ test is a nonparametric counterpart of a small sample t test for comparing two independent population locations.

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

Test H₀: p_s = 0 vs H_A: p_s > 0 for the relationship between tea consumption and coffee consumption at the state level at ? = .05.

A readability analysis is conducted to determine how easy four different newspapers are to read for the average citizen.The sample scores are below: A B C D 50 59 45 62 50 60 48 64 53 63 51 68 58 65 54 70 59 67 55 72 -Calculate T_A,T_B,T_C,T_D for the Kruskal-Wallis test.

At $\alpha$ = .05,can it be concluded that the oral exam scores are higher than the written exam scores?

On the average,can it be concluded that the machines distribute the same amount? Test at $\alpha$ = .05 Cannot reject the null hypothesis that the distributions of amounts are equal. T = 117