Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.6, Problem 18AYU
Reaction Time In an online psychology experiment sponsored by the University of Mississippi, researchers asked study participants to respond to various stimuli. Participants were randomly assigned to one of three groups: Group 1, the simple group, required to respond as quickly as possible after a stimulus was presented; Group 2, the go/no-go group, required to respond to a particular stimulus while disregarding other stimuli; and Group 3, the choice group, required to respond differently depending on the type of whistle sound, the subject must press a certain button. The researcher wants to determine if the
| Simple | Go/No-Go | Choice |
| 0.430 | 0.588 | 0.561 |
| 0.498 | 0.375 | 0.498 |
| 0.480 | 0.409 | 0.519 |
| 0.376 | 0.613 | 0.538 |
| 0.402 | 0.481 | 0.464 |
| 0.329 | 0.355 | 0.625 |
Source: PsychExperiments; The University of Mississippi; www.olemiss.edu/psychexps/
- (a) What type of experimental design is this?
- (b) What is the response variable? What is the explanatory variable? How many levels of treatment are there in this experiment?
- (c) State the null and alternative hypotheses.
- (d) Verify that the requirements to use the one-way ANOVA procedure are satisfied. Normal probability plots indicate that the sample data come from a normal population.
- (e) Test the hypothesis that the mean reaction times for the three stimuli are the same at the α = 0.05 level of significance.
- (f) Draw boxplots of the three stimuli to support the analytic results obtained in part (c).
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In an online psychology experiment sponsored by the University of Mississippi, researchers asked study participants to respond to various stimuli. Participants were randomly assigned to one of three treatment groups: Group 1, the simple group, required to respond as quickly as possible after a stimulus was presented; Group 2, the go/no-go group, required to respond to a particular stimulus while disregarding other stimuli; and Group 3, the choice group, required to respond differently depending on the stimuli presented. The researcher felt that age may be a factor in determining reaction time, so she organized the experimental units by age into an 18-24 year old group (1), a 25-34 year old group (2), and a 35 and older group (3). She obtained the data given in the “Psychology data” JMP file.
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Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They
randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was described as a new
health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it
was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not
at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack.
The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger).
Treatment
Group
Healthy
Tasty
5 8 7
Hunger Rating
No Snack 3 4
4
4 1 4 2
7 3
6
2
5 6 5 5
4 7
5
2
3
4
6
4
4
Sample
Mean
5.6667
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4.2222
Sample…
Chapter B.6 Solutions
Fundamentals of Statistics (5th Edition)
Ch. B.6 - The acronym ANOVA stands for __________ __...Ch. B.6 - True or False: To perform a one-way ANOVA, the...Ch. B.6 - True or False: To perform a one-way ANOVA, the...Ch. B.6 - The variability among the sample means is called...Ch. B.6 - The variability within each treatment group, which...Ch. B.6 - True or False: The F-test statistic is F0=MSTMSE.Ch. B.6 - In Problems 7 and 8, fill in the ANOVA table. 7.Ch. B.6 - In Problems 7 and 8, fill in the ANOVA table. 8.Ch. B.6 - In Problems 9 and 10, determine the F-test...Ch. B.6 - In Problems 9 and 10, determine the F-test...
Ch. B.6 - NW 11. The following data represent a simple...Ch. B.6 - The following data represent a simple random...Ch. B.6 - NW 13. Corn Production The data in the table...Ch. B.6 - Soybean Yield The data in the table represent the...Ch. B.6 - Which Delivery Method Is Best? At a community...Ch. B.6 - Births by Day of Week An obstetrician knew that...Ch. B.6 - Rates of Return A stock analyst wondered whether...Ch. B.6 - Reaction Time In an online psychology experiment...Ch. B.6 - Car-Buying Discrimination To determine if there is...Ch. B.6 - Crash Data The Insurance Institute for Highway...Ch. B.6 - Lower Your Cholesterol Researcher Francisco...Ch. B.6 - pH in Rain An environmentalist wanted to determine...Ch. B.6 - Age and Politics Do peoples political philosophy...Ch. B.6 - Concrete Strength An engineer wants to know if the...Ch. B.6 - Analyzing Journal Article Results Researchers...Ch. B.6 - Prob. 27AYUCh. B.6 - Diversity and pH The following data represent the...Ch. B.6 - Another E-Cig Study In a study of adult smokers...Ch. B.6 - What are the requirements to perform a one-way...Ch. B.6 - What is the mean square due to treatment estimate...Ch. B.6 - Why does a large value of the F statistic provide...Ch. B.6 - In a one-way ANOVA, explain what it means to...
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