Question 1

In ANOVA, the F -test is the ratio of two sample variances. In the one-way ANOVA (completely randomized design), the variance used as a numerator of the ratio is:

Accepted Answer

A) mean square for treatments. 
B) mean square for error. 
C) total sum of squares. 
D) None of these choices. 
A) mean square for treatments. 
B) mean square for error. 
C) total sum of squares. 
D) None of these choices. A

Question 2

Health Inspectors' Ages In order to examine the differences in ages of health inspectors among five counties, a Health Department statistician took random samples of six inspectors' ages in each county. The data are listed below. An F -test using ANOVA showed that average age differs for at least two counties.   {Health Inspectors' Ages Narrative} Use Fisher's LSD procedure with a = .05 to determine which population means differ.

Accepted Answer

LSD = 7.613   The mean for district 3 is significantly different from the mean for each of the other districts. Note that the sample means are found to be 44.3, 46.3, 29.8, 46.0, and 53.7 years, respectively. From this we conclude that the mean age for district 3 teachers is statistically lower than the other districts, according to this data.

Question 3

Arthritis Pain Formulas A pharmaceutical manufacturer has been researching new medications formulas to provide quicker relief of arthritis pain. Their laboratories have produced three different medications and they want to determine if the different medications produce different responses. Fifteen people who complained of arthritis pains were recruited for an experiment; five were randomly assigned to each medication. Each person was asked to take the medicine and report the length of time until some relief was felt (minutes). The results are shown below. (Assume normal distributions with equal variances.)   {Arthritis Pain Formulas Narrative} Do these data provide sufficient evidence to indicate that differences in the average time of relief exist among the three medications? Use a = 0.05.

Accepted Answer

H ₀: m ₁ = m ₂ = m ₃ vs. H ₁: At least two means differ Conclusion: Reject the null hypothesis. Yes, differences in the mean time of relief exist in at least two of the three medications, according to this data.

Question 4

One-way ANOVA is applied to independent samples taken from three normally distributed populations with equal variances. Which of the following is the null hypothesis for this procedure?

Accepted Answer

A) m 1 + m 2 + m 3 = 0 
B) m 1 + m 2 + m 3 ¹ 0 
C) m 1 = m 2 = m 3 = 0 
D) m 1 = m 2 = m 3 
A) m 1 + m 2 + m 3 = 0 
B) m 1 + m 2 + m 3 ¹ 0 
C) m 1 = m 2 = m 3 = 0 
D) m 1 = m 2 = m 3

Question 5

SSE measures the variation ____________________ treatments.

Accepted Answer

The answer of SSE measures the variation ____________________ treatments....

Question 6

TV News Viewing Habits A statistician employed by a television rating service wanted to determine if there were differences in television viewing habits among three different cities in New York. She took a random sample of five adults in each of the cities and asked each to report the number of hours spent watching television in the previous week. The results are shown below. (Assume normal distributions with equal variances.)   {TV News Viewing Habits Narrative} Can she infer at the 5% significance level that differences in hours of television watching exist among the three cities?

Accepted Answer

H ₀: m ₁ = m ₂ = m ₃ vs. H ₁: At least two me

Question 7

The primary interest of designing a randomized block experiment is to:

Accepted Answer

A) reduce the within-treatments variation to more easily detect differences among the treatment means. 
B) increase the between-treatments variation to more easily detect differences among the treatment means. 
C) reduce the variation among blocks. 
D) None of these choices. 
A) reduce the within-treatments variation to more easily detect differences among the treatment means. 
B) increase the between-treatments variation to more easily detect differences among the treatment means. 
C) reduce the variation among blocks. 
D) None of these choices.

Question 8

Acid Reflux A partial ANOVA table in a randomized block design is shown below, where the treatments refer to different acid reflux medicines, and the blocks refer to groups of men with similar levels of stomach acid.     
 {Acid Reflux Narrative} Fill in the missing values (identified by asterisks)in the above ANOVA Table.

Accepted Answer

The answer of Acid Reflux A partial ANOVA table in...

Question 9

A randomized block experiment having five treatments and six blocks produced the following values: SST = 252, SS(Total)= 1,545, SSE = 198. The value of SSB must be 1095.

Accepted Answer

A) True 
 B)False

Question 10

In which case can an F -test be used to compare two population means?

Accepted Answer

A) For one tail tests only. 
B) For two tail tests only. 
C) For either one or two tail tests. 
D) None of these choices. 
A) For one tail tests only. 
B) For two tail tests only. 
C) For either one or two tail tests. 
D) None of these choices.

Question 11

The analysis of variance (ANOVA)tests hypotheses about population variances and requires all the population means to be equal.

Accepted Answer

A) True 
 B)False

Question 12

Health Inspectors' Ages In order to examine the differences in ages of health inspectors among five counties, a Health Department statistician took random samples of six inspectors' ages in each county. The data are listed below. An F -test using ANOVA showed that average age differs for at least two counties.   {Health Inspectors' Ages Narrative} Did Tukey's method and Fisher's LSD method in the previous two questions yield the same results? Will this always be the case?

Accepted Answer

For this data set bo

Question 13

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD)multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

Accepted Answer

A) True 
 B)False

Question 14

In one-way ANOVA, the total variation SS(Total)is partitioned into two sources of variation: the sum of squares for treatments (SST)and the sum of squares for error (SSE).

Accepted Answer

A) True 
 B)False

Question 15

Gold Funds An investor studied the percentage rates of return of three different gold funds. Random samples of percentage rates of return for four periods were taken from each fund. The results appear in the table below:   {Gold Funds Narrative} Test at the 5% significance level to determine whether the mean percentage rates for the three funds differ.

Accepted Answer

H ₀: m ₁ = m ₂ = m ₃ vs. H ₁: At least two me

Question 16

Which of the following statements about multiple comparison methods is false?

Accepted Answer

A) They are to be use once the F -test in ANOVA has been rejected. 
B) They are used to determine which particular population means differ. 
C) There are many different multiple comparison methods but all yield the same conclusions. 
D) All of these choices are true. 
A) They are to be use once the F -test in ANOVA has been rejected. 
B) They are used to determine which particular population means differ. 
C) There are many different multiple comparison methods but all yield the same conclusions. 
D) All of these choices are true.

Question 17

Food Irradiation In recent years the irradiation of food to reduce bacteria and preserve the food longer has become more common. A company that performs this service has developed four different methods of irradiating food. To determine which is best, it conducts an experiment where different foods are irradiated and the bacteria count is measured. As part of the experiment the following foods are irradiated: meat, poultry, veal, tuna, and yogurt. The results are shown below.   {Food Irradiation Narrative} Can the company infer at the 1% significance level that differences in the bacteria count exist among the four irradiation methods?

Accepted Answer

H ₀: m ₁ = m ₂ = m ₃ = m ₄ vs. H ₁: At least t

Question 18

The techniques used to detect which population means differ are called multiple ____________________ methods.

Accepted Answer

The answer of The techniques used to detect which population...

Question 19

Fisher's least significant difference method (LSD)substitutes the pooled variance estimator from the equal variances t -test with the MSE from ANOVA.

Accepted Answer

A) True 
 B)False

Question 20

The sum of squares for error is also known as the between-treatments variation.

Accepted Answer

A) True 
 B)False

In ANOVA, the F -test is the ratio of two sample variances. In the one-way ANOVA (completely randomized design), the variance used as a numerator of the ratio is:

One-way ANOVA is applied to independent samples taken from three normally distributed populations with equal variances. Which of the following is the null hypothesis for this procedure?

SSE measures the variation ____________________ treatments.

The primary interest of designing a randomized block experiment is to:

A randomized block experiment having five treatments and six blocks produced the following values: SST = 252, SS(Total)= 1,545, SSE = 198. The value of SSB must be 1095.

In which case can an F -test be used to compare two population means?

The analysis of variance (ANOVA)tests hypotheses about population variances and requires all the population means to be equal.

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD)multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

In one-way ANOVA, the total variation SS(Total)is partitioned into two sources of variation: the sum of squares for treatments (SST)and the sum of squares for error (SSE).

Which of the following statements about multiple comparison methods is false?

The techniques used to detect which population means differ are called multiple ____________________ methods.

Fisher's least significant difference method (LSD)substitutes the pooled variance estimator from the equal variances t -test with the MSE from ANOVA.

The sum of squares for error is also known as the between-treatments variation.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populat

Inference About Comparing Two Populat

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

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Exam 14: Analysis of Variance

In ANOVA, the F -test is the ratio of two sample variances. In the one-way ANOVA (completely randomized design), the variance used as a numerator of the ratio is:

One-way ANOVA is applied to independent samples taken from three normally distributed populations with equal variances. Which of the following is the null hypothesis for this procedure?

SSE measures the variation ____________________ treatments.

The primary interest of designing a randomized block experiment is to:

A randomized block experiment having five treatments and six blocks produced the following values: SST = 252, SS(Total)= 1,545, SSE = 198. The value of SSB must be 1095.

In which case can an F -test be used to compare two population means?

The analysis of variance (ANOVA)tests hypotheses about population variances and requires all the population means to be equal.

The Bonferroni adjustment to Fisher's Least Significant Difference (LSD)multiple comparison method is made by dividing the specified experimentwise Type I error rate by the number of pairs of population means.

In one-way ANOVA, the total variation SS(Total)is partitioned into two sources of variation: the sum of squares for treatments (SST)and the sum of squares for error (SSE).

Which of the following statements about multiple comparison methods is false?

The techniques used to detect which population means differ are called multiple ____________________ methods.

Fisher's least significant difference method (LSD)substitutes the pooled variance estimator from the equal variances t -test with the MSE from ANOVA.

The sum of squares for error is also known as the between-treatments variation.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populat

Inference About Comparing Two Populat

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

Filters