Question 1

The test statistic for the Jarque-Bera test for normality does not depend on the:

Accepted Answer

A) measure of skewness. 
B) measure of kurtosis. 
C) sample size. 
D) tied values in the data set. 
A) measure of skewness. 
B) measure of kurtosis. 
C) sample size. 
D) tied values in the data set.

Question 2

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A large city is in the process of voting on a bond issue to build a covered sports arena.A local political analyst wishes to determine if the level of income will impact on the decision of the voters.He takes a sample of 350 who plan to vote in the upcoming election.
Vote on Bond Issue
  
-State the null and alternative hypotheses.

Accepted Answer

H₀ : Level of income and the de

Question 3

In a goodness-of-fit-test,suppose a sample showed that the observed frequency and expected frequency were equal for each cell i.Then,the null hypothesis is:

Accepted Answer

A) rejected at α = 0.05 but is not rejected at α = 0.025. 
B) not rejected at any α level. 
C) not rejected at α = 0.05 but is rejected at α = 0.025. 
D) rejected at any level α. 
A) rejected at α = 0.05 but is not rejected at α = 0.025. 
B) not rejected at any α level. 
C) not rejected at α = 0.05 but is rejected at α = 0.025. 
D) rejected at any level α.

Question 4

To apply the Wilcoxon rank sum test to determine whether the location of population 1 is different from the location of population 2,the:

Accepted Answer

A) samples must not be drawn randomly. 
B) samples must be drawn from matched pairs of observations. 
C) samples must be independent. 
D) sample size must be larger than 30. 
A) samples must not be drawn randomly. 
B) samples must be drawn from matched pairs of observations. 
C) samples must be independent. 
D) sample size must be larger than 30.

Question 5

The sign test can be used to perform tests about the median for one population or to compare two population medians.

Accepted Answer

A) True 
 B)False

Question 6

In a goodness-of-fit-test,the null hypothesis states that the data has been obtained from a normally distributed population.The researcher estimated the population mean and population standard deviation from a sample of 400 observations.In addition,the researcher used 6 categories to test for normality.Using a 5% level of significance,the critical value for this test is:

Accepted Answer

A) 7.815 
B) 5.991 
C) 11.071 
D) 9.488 
A) 7.815 
B) 5.991 
C) 11.071 
D) 9.488

Question 7

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Three choices of free gifts are offered to 270 persons who subscribed to a new magazine.The number of subscribers choosing each gift is shown in the table below.Assume the null hypothesis that the gifts are equally attractive to the subscribers.Use a 0.01 significance level.
  
-What is the conclusion?

Accepted Answer

Since X² = 15.56 > 9.21,we reje

Question 8

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A random sample of 12 working men was asked how many hours of housework they performed each week.Their responses were:
   
A random sample of 10 working women was asked the same question.Their responses are listed below.
  
-In a recent survey,250 respondents were asked how many hours of television they watched each week.In addition,data were collected on the highest level of education attained by the individual.The data are summarized in the table below.
Education Level
   
Can you reject the null hypothesis that there is no association between the level of education and television habits?

Accepted Answer

H₀ : There is no association between the

Question 9

A nonparametric method that is equivalent to the Wilcoxon rank sum test is the:

Accepted Answer

A) Wilcoxon signed rank test. 
B) Sign test. 
C) Spearman rank correlation test. 
D) Mann-Whitney U test. 
A) Wilcoxon signed rank test. 
B) Sign test. 
C) Spearman rank correlation test. 
D) Mann-Whitney U test.

Question 10

The z-test approximation to the Wilcoxon rank sum test for two independent samples requires that both sample sizes are at least 10.

Accepted Answer

A) True 
 B)False

Question 11

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A large department store records the number of returns per day in women's dresses for reasons such as wrong size;husband didn't like it,color,etc.The manager of the women's dresses department recalls from her statistics class in college that the Poisson distribution might describe such events.A random sample of 150 days is taken.The number of returns per day in the sample as well as the observed frequencies is shown in the table below:
   
She tests the hypothesis that returns per day are Poisson distributed with a population mean equal to 1.90.Her significance level is 0.05
-A random sample of 100 measurements of the resistance of electronic components produced in a period of 1 week was taken.The sample skewness was 0.60 and the sample kurtosis was 3.75.Test the null hypothesis that the population distribution is normal.

Accepted Answer

H₀ : Resistance of electronic components

Question 12

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A university is considering changing its mascot.In a survey of 150 students,it was found that 89 preferred the new mascot,44 preferred the old mascot,while the remaining had no opinion.
-Is there sufficient evidence of student support for the new mascot?

Accepted Answer

H₀ : P = 0.50 (No preference),H₁ : P > 0.5

Question 13

It is known that for the normal distribution,the population kurtosis is 3.0.

Accepted Answer

A) True 
 B)False

Question 14

In order for the chi-square test of independence to be valid,the expected frequency in each cell of the contingency table should be at least 1.

Accepted Answer

A) True 
 B)False

Question 15

A goodness-of-fit test features a table that classifies data with respect to two qualitative variables that are each divided into two or more categories;numbers in such a table show the frequency of occurrence of all possible combinations of categories.

Accepted Answer

A) True 
 B)False

Question 16

The skewness of a distribution can never be negative.

Accepted Answer

A) True 
 B)False

Question 17

In order to examine whether a sample could have come from a given type of population distribution (e.g. ,Poisson or the normal distribution),chi-square analysis involves the comparison of a table of observed frequencies with a table of expected frequencies that has been constructed under the assumption that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 18

A chi-square goodness-of-fit-test is to be used to determine if data fit a Poisson distribution.The data is divided into "k" categories.The mean number of occurrences is unknown and must be estimated.The degrees of freedom for this test would be:

Accepted Answer

A) k - 1 
B) k - 2 
C) k - 3 
D) k - 4 
A) k - 1 
B) k - 2 
C) k - 3 
D) k - 4

Question 19

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A business statistics professor indicates that students who receive higher than an 80 on the final exam will receive at least a B- in the course.The scores for a random sample of 24 students are listed below.
  
-Is there evidence that the median score is higher than 80?

Accepted Answer

H₀ : Median = 80 vs.H₁ : median > 80 n = 2

Question 20

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A study was conducted to determine whether the use of seat belts in vehicles depends on ethnic status in Detroit.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained,and each person was classified according to (1)ethnic status (African American or non-African American)and (2)set belt usage (worn or not worn)during the accident.The data are shown in the table below.
Ethnic Status
  
-A recent survey of 192 college students asked whether they participated in extracurricular activities.The following data was collected:
   
Is there any evidence that student participation is related to year in college?

Accepted Answer

H₀ : There is no associationbetween stude

The test statistic for the Jarque-Bera test for normality does not depend on the:

In a goodness-of-fit-test,suppose a sample showed that the observed frequency and expected frequency were equal for each cell i.Then,the null hypothesis is:

To apply the Wilcoxon rank sum test to determine whether the location of population 1 is different from the location of population 2,the:

The sign test can be used to perform tests about the median for one population or to compare two population medians.

A nonparametric method that is equivalent to the Wilcoxon rank sum test is the:

The z-test approximation to the Wilcoxon rank sum test for two independent samples requires that both sample sizes are at least 10.

It is known that for the normal distribution,the population kurtosis is 3.0.

In order for the chi-square test of independence to be valid,the expected frequency in each cell of the contingency table should be at least 1.

A goodness-of-fit test features a table that classifies data with respect to two qualitative variables that are each divided into two or more categories;numbers in such a table show the frequency of occurrence of all possible combinations of categories.

The skewness of a distribution can never be negative.

A chi-square goodness-of-fit-test is to be used to determine if data fit a Poisson distribution.The data is divided into "k" categories.The mean number of occurrences is unknown and must be estimated.The degrees of freedom for this test would be:

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 14: Analysis of Categorical Data

The test statistic for the Jarque-Bera test for normality does not depend on the:

In a goodness-of-fit-test,suppose a sample showed that the observed frequency and expected frequency were equal for each cell i.Then,the null hypothesis is:

To apply the Wilcoxon rank sum test to determine whether the location of population 1 is different from the location of population 2,the:

The sign test can be used to perform tests about the median for one population or to compare two population medians.

A nonparametric method that is equivalent to the Wilcoxon rank sum test is the:

The z-test approximation to the Wilcoxon rank sum test for two independent samples requires that both sample sizes are at least 10.

It is known that for the normal distribution,the population kurtosis is 3.0.

In order for the chi-square test of independence to be valid,the expected frequency in each cell of the contingency table should be at least 1.

A goodness-of-fit test features a table that classifies data with respect to two qualitative variables that are each divided into two or more categories;numbers in such a table show the frequency of occurrence of all possible combinations of categories.

The skewness of a distribution can never be negative.

A chi-square goodness-of-fit-test is to be used to determine if data fit a Poisson distribution.The data is divided into "k" categories.The mean number of occurrences is unknown and must be estimated.The degrees of freedom for this test would be:

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters