Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
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 mean reaction times for each stimulus are equal. The reaction time (in seconds) for each stimulus is presented in the table.
| 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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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
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4 7
5
2
3
4
6
4
4
Sample
Mean
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4.2222
Sample…
Chapter B.6 Solutions
Fundamentals of Statistics (5th Edition)
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