Question 1

When the p-value is used for hypothesis testing, the null hypothesis is rejected if

Accepted Answer

A) p-value $\le$ $\alpha$ 
B) $\alpha$ < p-value 
C) p-value $\ge$ $\alpha$ 
D) p-value = 1 - $\alpha$ 
A) p-value $\le$ $\alpha$ 
B) $\alpha$ < p-value 
C) p-value $\ge$ $\alpha$ 
D) p-value = 1 - $\alpha$

Question 2

Which of the following is not a required assumption for the analysis of variance?

Accepted Answer

A) The random variable of interest for each population has a normal probability distribution. 
B) The variance associated with the random variable must be the same for each population. 
C) At least 2 populations are under consideration. 
D) Populations have equal means. 
A) The random variable of interest for each population has a normal probability distribution. 
B) The variance associated with the random variable must be the same for each population. 
C) At least 2 populations are under consideration. 
D) Populations have equal means.

Question 3

In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown below.
   
a.Fill in the blanks in the above ANOVA table.
b.At 95% confidence, test to determine whether or not the means of the 3 populations are equal.

Accepted Answer

a. @#IMG-DLM& b.F = 5; p-value

Question 4

Independent random samples taken at two companies provided the following information regarding annual salaries of the employees.
   
a.We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Compute the test statistic.
b.Compute the p-value; and at 95% confidence, test the hypotheses.

Accepted Answer

a.test statistics t = 2.5
b.p-

Question 5

Exhibit 10-3
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information.
  
-Refer to Exhibit 10-3. The standard error of   is

Accepted Answer

A) 12.9 
B) 9.3 
C) 4 
D) 2 
A) 12.9 
B) 9.3 
C) 4 
D) 2

Question 6

An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are

Accepted Answer

A) 3 and 20 
B) 3 and 16 
C) 4 and 17 
D) 3 and 19 
A) 3 and 20 
B) 3 and 16 
C) 4 and 17 
D) 3 and 19

Question 7

Exhibit 10-1
Salary information regarding male and female employees of a large company is shown below.
  
-Refer to Exhibit 10-1. The standard error for the difference between the two means is

Accepted Answer

A) 4 
B) 7.46 
C) 4.24 
D) 2.0 
A) 4 
B) 7.46 
C) 4.24 
D) 2.0

Question 8

Exhibit 10-8
In order to determine whether or not there is a significant difference between the hourly wages of two companies, the following data have been accumulated.  
-Refer to Exhibit 10-8. A point estimate for the difference between the two sample means is

Accepted Answer

A) 20 
B) 0.50 
C) 0.25 
D) 1.00 
A) 20 
B) 0.50 
C) 0.25 
D) 1.00

Question 9

When the following hypotheses are being tested at a level of significance of $\alpha$ H0: $\mu$1- $\mu$2 $\ge$ 0
Ha: $\mu$1- $\mu$2 < 0
The null hypothesis will be rejected if the p-value is

Accepted Answer

A) 1- $\alpha$ 
B) > $\alpha$ 
C) > $\alpha$/2 
D) $\le$$\alpha$ 
A) 1- $\alpha$ 
B) > $\alpha$ 
C) > $\alpha$/2 
D) $\le$$\alpha$

Question 10

Random samples were selected from three populations. The data obtained are shown below. Please note that the sample sizes are not equal.
   
a.Compute the overall mean.
b.At 95% confidence, test to see if there is a significant difference among the means.

Accepted Answer

a. 38.25
b. @#IMG-DLM& The test statisti

Question 11

Exhibit 10-14
Part of an ANOVA table is shown below.
  
-Refer to Exhibit 10-14. If at 95% confidence we want to determine whether or not the means of the populations are equal, the p-value is

Accepted Answer

A) greater than 0.1 
B) between 0.05 to 0.1 
C) between 0.025 to 0.05 
D) less than 0.01 
A) greater than 0.1 
B) between 0.05 to 0.1 
C) between 0.025 to 0.05 
D) less than 0.01

Question 12

Three universities in your state decided to administer the same comprehensive examination to the recipients of MBA degrees from the three institutions. From each institution, MBA recipients were randomly selected and were given the test. The following table shows the scores of the students from each university.
   
At $\alpha$ = 0.01, test to see if there is any significant difference in the average scores of the students from the three universities. (Note that the sample sizes are not equal.) Use both the critical and p-value approaches.

Accepted Answer

@#IMG-DLM&
 F = 5.40; p-value

Question 13

For a one-tailed test (lower tail) at 93.7% confidence, Z =

Accepted Answer

A) -1.86 
B) -1.53 
C) -1.96 
D) -1.645 
A) -1.86 
B) -1.53 
C) -1.96 
D) -1.645

Question 14

For a two-tailed test at 86.12% confidence, Z =

Accepted Answer

A) 1.96 
B) 1.48 
C) 1.09 
D) 0.8612 
A) 1.96 
B) 1.48 
C) 1.09 
D) 0.8612

Question 15

Exhibit 10-1
Salary information regarding male and female employees of a large company is shown below.
  
-Refer to Exhibit 10-1. If you are interested in testing whether or not the average salary of males is significantly greater than that of females, the test statistic is

Accepted Answer

A) 2.0 
B) 1.5 
C) 1.96 
D) 1.645 
A) 2.0 
B) 1.5 
C) 1.96 
D) 1.645

Question 16

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as

Accepted Answer

A) corresponding samples 
B) matched samples 
C) independent samples 
D) None of these alternatives is correct. 
A) corresponding samples 
B) matched samples 
C) independent samples 
D) None of these alternatives is correct.

Question 17

A credit company has gathered information regarding the average amount owed by people under 30 years old and by people over 30 years. Independent random samples were taken from both age groups. You are given the following information.
   Construct a 95% confidence interval for the difference between the average amounts owed by the two age groups.

Accepted Answer

The answer of A credit company has gathered information regarding...

Question 18

Exhibit 10-14
Part of an ANOVA table is shown below.
  
-Refer to Exhibit 10-14. The number of degrees of freedom corresponding to within treatments is

Accepted Answer

A) 22 
B) 4 
C) 5 
D) 18 
A) 22 
B) 4 
C) 5 
D) 18

Question 19

In order to test to see if there is any significant difference in the mean number of units produced per week by each of three production methods, the following data were collected. (Please note that the sample sizes are not equal.)
   
a.Compute.
b.At the $\alpha$ = 0.05 level of significance, is there any difference in the mean number of units produced per week by each method? Show the complete ANOVA table. Use both the critical and p-value approaches.

Accepted Answer

a. 176.375
b. @#IMG-DLM& 
F = 3.154; p-v

Question 20

Independent random samples taken at two local malls provided the following information regarding purchases by patrons of the two malls.
   
We want to determine whether or not there is a significant difference between the average purchases by the patrons of the two malls. 
a.Give the hypotheses for the above.
b.Compute the test statistic.
c.At 95% confidence, test the hypotheses.

Accepted Answer

a.H₀: @#LAT-DLM&₁

When the p-value is used for hypothesis testing, the null hypothesis is rejected if

Which of the following is not a required assumption for the analysis of variance?

In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown below. a.Fill in the blanks in the above ANOVA table. b.At 95% confidence, test to determine whether or not the means of the 3 populations are equal.

An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The standard error for the difference between the two means is

Exhibit 10-8 In order to determine whether or not there is a significant difference between the hourly wages of two companies, the following data have been accumulated. -Refer to Exhibit 10-8. A point estimate for the difference between the two sample means is

When the following hypotheses are being tested at a level of significance of $\alpha$ H₀: $\mu$ ₁- $\mu$ ₂ $\ge$ 0 H_a: $\mu$ ₁- $\mu$ ₂ < 0 The null hypothesis will be rejected if the p-value is

Random samples were selected from three populations. The data obtained are shown below. Please note that the sample sizes are not equal. a.Compute the overall mean. b.At 95% confidence, test to see if there is a significant difference among the means.

Exhibit 10-14 Part of an ANOVA table is shown below. -Refer to Exhibit 10-14. If at 95% confidence we want to determine whether or not the means of the populations are equal, the p-value is

For a one-tailed test (lower tail) at 93.7% confidence, Z =

For a two-tailed test at 86.12% confidence, Z =

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. If you are interested in testing whether or not the average salary of males is significantly greater than that of females, the test statistic is

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as

Exhibit 10-14 Part of an ANOVA table is shown below. -Refer to Exhibit 10-14. The number of degrees of freedom corresponding to within treatments is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

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Exam 10: Comparisons Involving Means, Experimental Design and Analysis of Variance

When the p-value is used for hypothesis testing, the null hypothesis is rejected if

Which of the following is not a required assumption for the analysis of variance?

In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown below. a.Fill in the blanks in the above ANOVA table. b.At 95% confidence, test to determine whether or not the means of the 3 populations are equal.

An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. The standard error for the difference between the two means is

Exhibit 10-8 In order to determine whether or not there is a significant difference between the hourly wages of two companies, the following data have been accumulated. -Refer to Exhibit 10-8. A point estimate for the difference between the two sample means is

When the following hypotheses are being tested at a level of significance of α\alphaα H0: μ\muμ 1- μ\muμ 2 ≥\ge≥ 0 Ha: μ\muμ 1- μ\muμ 2 < 0 The null hypothesis will be rejected if the p-value is

Random samples were selected from three populations. The data obtained are shown below. Please note that the sample sizes are not equal. a.Compute the overall mean. b.At 95% confidence, test to see if there is a significant difference among the means.

Exhibit 10-14 Part of an ANOVA table is shown below. -Refer to Exhibit 10-14. If at 95% confidence we want to determine whether or not the means of the populations are equal, the p-value is

For a one-tailed test (lower tail) at 93.7% confidence, Z =

For a two-tailed test at 86.12% confidence, Z =

Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. -Refer to Exhibit 10-1. If you are interested in testing whether or not the average salary of males is significantly greater than that of females, the test statistic is

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as

Exhibit 10-14 Part of an ANOVA table is shown below. -Refer to Exhibit 10-14. The number of degrees of freedom corresponding to within treatments is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

When the following hypotheses are being tested at a level of significance of $\alpha$ H₀: $\mu$ ₁- $\mu$ ₂ $\ge$ 0 H_a: $\mu$ ₁- $\mu$ ₂ < 0 The null hypothesis will be rejected if the p-value is