If q = 4.05, MS Within = 6.87, and n = 11, what is HSD?
The results of a between-subjects, one-way ANOVA, in APA format, are F(3, 30) = 2.66, p > .05. What interpretative statement can one make about the differences among the four population means?
If F cv = 2.337, draw a sampling distribution of F, label the rare and common zones, locate F = 5.66, and determine, for this F value, if the null hypothesis should be rejected.
A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is greater than 10 with unknown variance. What is the critical value for the test...
Given the results of a one-way, repeated-measures ANOVA in APA format, F(3, 36) = 12.56, p < .05, interpret them based only on this.
Using the information in this summary table, determine if the null hypothesis is rejected if alpha is set at .05: Degrees Source of Sum of of Mean Variability Squares Freedom Square ratio Subjects...
Given the following, complete an ANOVA summary table for a one-way, repeated measures ANOVA: df Subjects = 19, df Treatment = 3, df Residual = 57, df Total = 79, SS Subjects = 101.27, SS Treatment =...
An electrical engineer must design a circuit to deliver the maximum amount of current to a display tube to achieve sufficient image brightness. Within her allowable design constraints, she has...
If F cv = 3.191 and F = 2.86, was the null hypothesis rejected?
On average, do people gain weight as they age? Using data from the same study as in Exercise 11-1, we provide some summary statistics for both age and weight. (a) Calculate the least squares...
The HSD value for the interaction effect is used to compare ____ means.
If the row main effect is statistically significant and there are only two rows, it is / is not necessary to do a post-hoc test for the row effect.
Eta squared can alert one to the risk of ____ error if the effect was not statistically significant.
Eta squared is calculated for both ____ effects and for the ____.
Only interpret a main effect if ____.
If results, in APA format, are written as p > .05, the null hypothesis was ____.
When an ANOVA summary table for a between- subjects, two-way ANOVA is completed, there are ____ F ratios.
To calculate a mean square, one divides a ____ by its ____.
In between-subjects, two-way ANOVA, between group variability is divided into variability due to ____, ____, and ____.
If F Interaction < F cv Interaction , then the null hypothesis is ____.
Consider the following computer output. The regression equation is Analysis of Variance (a) Fill in the missing information. You may use bounds for the P-values. (b) Can you conclude that the model...
The denominator degrees of freedom for all the F ratios calculated for a between-subjects, two-way ANOVA is degrees of freedom ____.
The alternative hypothesis for the interaction effect says that there is ____ for at least one cell.
The rows null hypothesis states that the ____ for all levels of the row variable are equal.
The ____ assumption is tested by looking at cell standard deviations.
The random samples assumption says that the sample is a ____ from the ____ to which one wishes to generalize the results.
If the interaction effect is statistically significant, ____ interpret the main effects.
If each cell has the same sample size, the cell means in a row can be averaged to find the ____.
An interaction occurs when the effect of one independent variable on the dependent variable ____ on the level of the other independent variable.
An article in the IEEE Transactions on Instrumentation and Measurement [Direct, Fast, and Accurate Measurement of V T and K of MOS Transistor Using VT-Sift Circuit (1991, Vol. 40, pp. 951955)]...
If every level of one independent variable occurs with every level of the other independent variable, then the two independent variables are said to be ____.
Two-way ANOVA, three-way ANOVA, and four-way ANOVA are all examples of ____ ANOVA.
A 2 3 ANOVA could also be called a ____ ____ ANOVA.
Twenty-two percent of work injuries are back injuries. If 400 work-injured people are selected at random, find the probability that 92 or fewer have back injuries.
A manufacturer of pacemakers wants the standard deviation of the lifetimes of the batteries to be less than 1.8 months. A sample of 20 batteries had a standard deviation of 1.6 months. Assume the...
In 1960, 67.6% of the U.S. population (aged 14 and over) was married. A random sample of 600 Americans in 2014 indicated that 316 were married. Estimate the true proportion of married Americans with...
An article in Technometrics (1974, Vol. 16, pp. 523531) considered the following stack-loss data from a plant oxidizing ammonia to nitric acid. Twenty-one daily responses of stack loss (the amount of...
(a) Multiply together the pairs of deviation scores and (b) Sum the products. Deviation Deviation Scores Scores 540 115 36.67 11.33 88 510 6.67 -15.67 460 108 -43.33 4.33 M= 503.33 M=103.67 %3D %3D
What is df for a Pearson r if N = 212?
A sleep specialist believes that the more caffeine a person consumes per day, the more episodes of restless sleep that person experiences. What are her null and alternative hypotheses?
If the null hypothesis is not rejected, the results are said to be ____ significant.
The first question addressed in interpretation is ____.
The diameter of fuse pins used in an aircraft engine application is an important quality characteristic. Twenty-five samples of three pins each are shown as follows: (a) Set up XÌ and R charts...
Here is a regression equation: Y = 1.10X + 115. If X values can range from 70 to 130, draw the regression line.
An exercise physiologist used the number of hours of TV watched per week at age 30 to predict the number of pounds gained over the next 10 years. The slope of the regression line was 1.25. Use the...
Given this regression line, predict Y for X = 25: Regression line 45 40 35 30 25 > 20 15 10 10 15 20 25 30 35 40 45
The U.S. Senate Appropriations Committee has 29 members and a subcommittee is to be formed by randomly selecting 5 of its members. How many different committees could be formed?
Fill in the blank and then write this result as a linear second-order differential equation that is free of the symbols c 1 and c 2 and has the form F(y, y'' ) 0. The symbols c 1 , c 2 , and k...
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why. A random sample of 15 college seniors...
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why. Three cards are selected from a...
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why. A basketball player who makes 80% of...
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why. A baseball player who reaches base...
Researchers Raluca Barac and Ellen Bialystok (2012) conducted a study in which they compared the language skills of 104 six-year-old children who were in one of four groups. Some children spoke only...
A researcher wants to show the mean from population 1 is less than the mean from population 2 in matched-pairs data. If the observations from sample 1 are X i and the observations from sample 2 are Y...
Over roughly the past 100 years, the mean monthly April precipitation in Williams town, Massachusetts, equaled 3.6 inches with a standarddeviation of 1.6 inches. (Source: http://web.williams.edu/...
Exercise 11.32 showed the association between general happiness and marital happiness. The table shown here gives the standardized residuals for those data in parentheses. a. Explain what a...
According to the almanac, the mean age for a woman giving birth for the first time is 25.2 years. A random sample of ages of 35 professional women giving birth for the first time had a mean of 28.7...
A random sample of the distances in miles 8 shoppers travel to their nearest supermarkets is shown. Test the claim at α = 0.10 that the standard deviation of the distance shoppers...
A communicable disease is spread throughout a small community, with a fixed population of n people, by contact between infected individuals and people who are susceptible to the disease. Suppose that...
A four-month record for the number of tornadoes in 20132015 is given here. a. Which month had the highest mean number of tornadoes for this 3-year period? May: b. Which year has the highest mean...
The principal also kept track of how many burps each student produced. For both the caffeinated and noncaffeinated groups, the number of burps was extremely positively skewed. What statistical test...
Given this matrix, how many degrees of freedom are there for this chi-square test of independence?
Given the contingency table below, find the row and column percentages: Calculating row and column percentages for a chisquare test of independence. Outcome A Outcome B 34 Group I Group II 86 113 113...
Given the contingency table below, find the row and column percentages: Calculating row and column percentages for a chisquare test of independence. Outcome A Outcome B 28 Group I Group II 12 32 18
Given N = 74 and the information in the following contingency table, calculate the expected frequencies for the cells: Calculating expected frequencies. Outcome 1 Outcome 2 Group I Group II B 48% A...
Given 2 (3, N = 78) = 8.92, p < .05 where R = 4 and C = 2, (a) Calculate V; (b) Classify the effect as small, medium, or large; and (c) Determine if the researcher should worry about Type II error.
A company located in the southern part of the United States has slightly more than 2,200 employees. Of these, 35% have a college degree. Twenty employees were selected at random to potentially...
Clinicians at a nursing home facility want to see if giving residents a plant to tend to will help lower depression. To test this idea, the residents are randomly assigned to one of two groups: Those...
What is the difference between the Wilcoxon rank sum test and the Wilcoxon signed-rank test?
Clinicians at a nursing home facility want to see if giving residents a plant to tend to will help lower depression. To test this idea, the residents are randomly assigned to one of three groups:...
A small city contains 20,000 voters. Use the random number table to identify the voters to be included in a random sample of n = 15.
Acme Industries has implemented a new website for employees to enter their weekly hours (e.g., start time, end time, sick hours, vacation hours, holiday hours, family leave hours). Upon clicking...
For model (5.1), show that (x)/x = (x)[1 (x)].
Smith and Jones are baseball players. Smith has a higher batting average than Jones in each of K years. Is it possible that for the combined data from the K years, Jones has the higher batting...
The purpose of the study The Incorporation of a Chelating Agent into a Flame Retardant Finish of a Cotton Flannelette and the Evaluation of Selected Fabric Properties, conducted at Virginia Tech, was...
The study Loss of Nitrogen Through Sweat by Preadolescent Boys Consuming Three Levels of Dietary Protein was conducted by the Department of Human Nutrition and Foods at Virginia Tech to determine...
A Veterans Administration researcher has developed a test that is meant to predict combat soldiers vulnerability to developing posttraumatic stress disorder (PTSD). She has developed the test so that...
List the null and alternative hypotheses for Exercise 6.78. Data from exercise 6.78 A Veterans Administration researcher has developed a test that is meant to predict combat soldiers vulnerability to...
Judith has a penny, nickel, dime, and quarter in her pocket. So does Joe. They both reach into their pockets and choose a coin. Let X be the greater (in cents) of the two. (a) Construct a sample...
A clinical psychologist is studying the effects of an experimental medication on depression. He randomly assigns the next 50 patients at his clinic to receive either (a) Prozac or (b) A placebo. Each...
A sleep specialist investigated the impact of watching TV and using computers, before bedtime, on sleep onset. He obtained 30 college student volunteers and randomly assigned them to three equally...
Should a post-hoc test be completed for the results in the ANOVA summary table in Exercise 10.106? Data from exercise 10.106 Given this ANOVA summary table, write the results in APA format using...
a. What is the null hypothesis for Exercise 11.64? b. What is the alternative hypothesis for Exercise 11.64? Data from exercise 11.64 A clinical psychologist wanted to compare three treatments for...
A clinical psychologist wanted to compare three treatments for generalized anxiety disorder (GAD). She put an ad in the local paper to find people with GAD. She matched them into groups of three,...
An industrial organizational psychologist investigated the crossed effects of two variables being a member of a team sport in high school and extroversion levelon how well professors are liked by...
To study accommodation to the loss of an eye, a sensory psychologist obtained 10 volunteers who agreed to wear an eye patch over one eye for 4 weeks. To test visual ability, the psychologist used a...
An economist wanted to investigate the relationship between the personality variable of conscientiousness and saving money. She obtained a random sample of 502 white collar workers. She had each...
I have two dice, one is a standard die. The other has three ones and three fours. I flip a coin. If heads, I will roll the standard die five times. If tails, I will roll the other die five times. Let...
Given the information in this table, calculate r: Product of Squared X Squared Y Deviation Deviation Deviation Deviation Deviation Scores Scores Scores Scores Scores -1.80 -2 -3 -2.60 4.68 3.24...
(a) Square the deviation scores and (b) Sum the squared scores. Product of Squared X Squared Y Deviation Deviation Deviation Deviation Deviation Scores Scores 83.30 Scores Scores Scores 55 -8.33...
A binomial GLM i = ( j j x ij ) with arbitrary inverse link function assumes that n i Y i has a bin(n i , i ) distribution. Find w i in (4.27) and hence cov (). For logistic regression, show that...
A psychodynamic psychologist used an interval-level scale to measure the degree of Oedipal conflict in a large sample of elementary age boys. He then had each one, by himself, play a target-shooting...
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the childs...
Suppose a gene allele takes two forms A and a, with P(A) = 0.20 = 1 P(a). Assume a population is in HardyWeinberg equilibrium. (a) Find the probability that in a sample of eight individuals, there...
A college dean noticed that political science seemed to attract more male majors than psychology. She wondered if her observation were true. So, she obtained a random sample from each major and...
A Halloween bag contains three red, four green, and five blue candies. Tom reaches in the bag and takes out three candies. Let R, G, and B denote the number of red, green, and blue candies,...
State the null and alternative hypotheses for Exercise 15.44. Data from exercise 15.44 An addictions researcher wants to see if male and female alcoholics differ in the type of alcohol they consume....
The following dice game costs $10 to play. If you roll 1, 2, or 3, you lose your money. If you roll 4 or 5, you get your money back. If you roll a 6, you win $24. (a) Find the distribution of your...
The prices for 30-count packages of randomly selected store-brand vitamin/mineral supplements are listed from three different sources. At the 0.01 level of significance, can a difference in prices be...