Question 1

When using the chi-square goodness-of-fit-test,a statistician needs to make certain that none of the expected frequencies (or values)are less than:

Accepted Answer

A) the number of categories. 
B) 5 
C) 10 
D) 30 
A) the number of categories. 
B) 5 
C) 10 
D) 30

Question 2

A researcher believes that a variable is Poisson distributed across six categories.To test this,a random sample is selected,and one parameter is estimated.Using α = 0.05,the critical chi-square value for this goodness-of-fit test is:

Accepted Answer

A) 11.143 
B) 11.071 
C) 7.779 
D) 9.488 
A) 11.143 
B) 11.071 
C) 7.779 
D) 9.488

Question 3

If for a particular data set,the skewness = 0.42,and the kurtosis equals 3.85,then we know that:

Accepted Answer

A) the data is skewed to the left and the distribution is more spread out than a normal distribution. 
B) the data is skewed to the right and the distribution is more spread out than a normal distribution. 
C) the data is skewed to the left and the distribution is less spread out than a normal distribution. 
D) the data is skewed to the right and the distribution in less spread out than a normal distribution. 
A) the data is skewed to the left and the distribution is more spread out than a normal distribution. 
B) the data is skewed to the right and the distribution is more spread out than a normal distribution. 
C) the data is skewed to the left and the distribution is less spread out than a normal distribution. 
D) the data is skewed to the right and the distribution in less spread out than a normal distribution.

Question 4

Give some real life examples of the use of chi-square tests using contingency tables.

Accepted Answer

Suppose that a sample is taken from a po

Question 5

A nonparametric test is one that makes no assumptions about the specific shape of the population from which a sample is drawn.

Accepted Answer

A) True 
 B)False

Question 6

The kurtosis of a distribution can never be negative.

Accepted Answer

A) True 
 B)False

Question 7

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Students in a statistics course were given a written examination as well as a project to complete as part of their final grade.For a random sample of 10 students,the scores on both the exam and the project are given below.
  
-Test for association at 5% significance level.

Accepted Answer

H₀ : No association between scores on the

Question 8

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A production manager was interested in the relationship between the amount of overtime incurred over a week and the total level of output for the week.The manager collected data over a 12-week period.The data are presented below:
  
-What is the Spearman's rank correlation for this data?

Accepted Answer

@#IMG-DLM& r_s = 1 -

Question 9

Which statistical technique is appropriate when we wish to analyze the relationship between two qualitative variables with two or more categories?

Accepted Answer

A) The chi-square test of a multinomial experiment 
B) The chi-square test of a contingency table 
C) The t-test of the difference between two means 
D) The z test of the difference between two proportions 
A) The chi-square test of a multinomial experiment 
B) The chi-square test of a contingency table 
C) The t-test of the difference between two means 
D) The z test of the difference between two proportions

Question 10

When the parameters of the distribution of interest are not specified and must be estimated,the chi-square test statistic always loses 2 or more degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 11

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A sample of 10 observations produces the following summary values:   
= 10815.472,   
= 72.48 and SS1U1P12S1S1P0 = 28.044
-What is the approximate value of skewness?

Accepted Answer

A) 0.049 
B) 0.221 
C) 1.375 
D) 1.173 
A) 0.049 
B) 0.221 
C) 1.375 
D) 1.173

Question 12

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.
  
-Data were collected from a random sample of 221 observations and is summarized in the table below.Does the following data appear to follow the Poisson distribution with mean of 0.80?

Accepted Answer

H₀ : The data follow the Poisson distribu

Question 13

The sampling distribution for a goodness of fit test is the:

Accepted Answer

A) binomial distribution. 
B) Student's t distribution. 
C) chi-square distribution. 
D) normal distribution. 
A) binomial distribution. 
B) Student's t distribution. 
C) chi-square distribution. 
D) normal distribution.

Question 14

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
-State the null and alternative hypotheses.

Accepted Answer

H₀ : The sample was drawn from

Question 15

The Spearman rank correlation coefficient rs can be seriously affected by extreme observations.

Accepted Answer

A) True 
 B)False

Question 16

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
In testing the hypotheses
HS1U1B10S1U1B0 : The two population locations are the same
HS1U1B11S1U1B0 : The two population locations are different,the following statistics were
calculated: n = 40,TS1U1B1+S1U1B0 = 245,and TS1U1B1-S1U1B0 = 575 with data drawn from a matched pairs experiment.
-Following a presidential debate,people were asked how they might vote in the forthcoming election.Is there any association between one's gender and choice of presidential candidate?
Gender

Accepted Answer

H₀ :No association exists between gender

Question 17

When conducting a goodness-of-fit test,if the expected frequencies are not at least 5,then you must combine categories before proceeding with the test.

Accepted Answer

A) True 
 B)False

Question 18

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a multinomial experiment involving n = 200 employees of a large corporation.The personnel department recorded the number of employees who were absent during the weekdays.
The null hypothesis to be tested is HS1U1B10S1U1B0 : PS1U1B11S1U1B0 = 0.10,PS1U1B12S1U1B0 = 0.25,PS1U1B13S1U1B0 = 0.30,PS1U1B14S1U1B0 = 0.20,PS1U1B15S1U1B0 = 0.15
-Test the hypothesis at the 5% level of significance with the following frequencies:

Accepted Answer

Rejection region: X² > @#IMG-DLM& = 9.48

Question 19

The distribution of the Mann-Whitney statistic,U,approaches the normal distribution quite rapidly as the number of sample observations increases.The approximation is adequate if n1 ≥ 10 and n2 ≥ 10.

Accepted Answer

A) True 
 B)False

Question 20

If the measure of kurtosis for a particular data set is equal to 1.2,then the distribution of the data appears to be more concentrated than a normally distributed variable with the same mean and variance.

Accepted Answer

A) True 
 B)False

When using the chi-square goodness-of-fit-test,a statistician needs to make certain that none of the expected frequencies (or values)are less than:

A researcher believes that a variable is Poisson distributed across six categories.To test this,a random sample is selected,and one parameter is estimated.Using α = 0.05,the critical chi-square value for this goodness-of-fit test is:

If for a particular data set,the skewness = 0.42,and the kurtosis equals 3.85,then we know that:

Give some real life examples of the use of chi-square tests using contingency tables.

A nonparametric test is one that makes no assumptions about the specific shape of the population from which a sample is drawn.

The kurtosis of a distribution can never be negative.

Which statistical technique is appropriate when we wish to analyze the relationship between two qualitative variables with two or more categories?

When the parameters of the distribution of interest are not specified and must be estimated,the chi-square test statistic always loses 2 or more degrees of freedom.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sample of 10 observations produces the following summary values: = 10815.472, = 72.48 and S² = 28.044 -What is the approximate value of skewness?

The sampling distribution for a goodness of fit test is the:

The Spearman rank correlation coefficient r_s can be seriously affected by extreme observations.

When conducting a goodness-of-fit test,if the expected frequencies are not at least 5,then you must combine categories before proceeding with the test.

The distribution of the Mann-Whitney statistic,U,approaches the normal distribution quite rapidly as the number of sample observations increases.The approximation is adequate if n₁ ≥ 10 and n₂ ≥ 10.

If the measure of kurtosis for a particular data set is equal to 1.2,then the distribution of the data appears to be more concentrated than a normally distributed variable with the same mean and variance.

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

When using the chi-square goodness-of-fit-test,a statistician needs to make certain that none of the expected frequencies (or values)are less than:

A researcher believes that a variable is Poisson distributed across six categories.To test this,a random sample is selected,and one parameter is estimated.Using α = 0.05,the critical chi-square value for this goodness-of-fit test is:

If for a particular data set,the skewness = 0.42,and the kurtosis equals 3.85,then we know that:

Give some real life examples of the use of chi-square tests using contingency tables.

A nonparametric test is one that makes no assumptions about the specific shape of the population from which a sample is drawn.

The kurtosis of a distribution can never be negative.

Which statistical technique is appropriate when we wish to analyze the relationship between two qualitative variables with two or more categories?

When the parameters of the distribution of interest are not specified and must be estimated,the chi-square test statistic always loses 2 or more degrees of freedom.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sample of 10 observations produces the following summary values: = 10815.472, = 72.48 and S2 = 28.044 -What is the approximate value of skewness?

The sampling distribution for a goodness of fit test is the:

The Spearman rank correlation coefficient rs can be seriously affected by extreme observations.

When conducting a goodness-of-fit test,if the expected frequencies are not at least 5,then you must combine categories before proceeding with the test.

The distribution of the Mann-Whitney statistic,U,approaches the normal distribution quite rapidly as the number of sample observations increases.The approximation is adequate if n1 ≥ 10 and n2 ≥ 10.

If the measure of kurtosis for a particular data set is equal to 1.2,then the distribution of the data appears to be more concentrated than a normally distributed variable with the same mean and variance.

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

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sample of 10 observations produces the following summary values: = 10815.472, = 72.48 and S² = 28.044 -What is the approximate value of skewness?

The Spearman rank correlation coefficient r_s can be seriously affected by extreme observations.

The distribution of the Mann-Whitney statistic,U,approaches the normal distribution quite rapidly as the number of sample observations increases.The approximation is adequate if n₁ ≥ 10 and n₂ ≥ 10.