Calculate the degrees of freedom (dfj.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Using the first image's question, answer all the questions asked in second image. 

A researcher studying the effects of different learning techniques upon memory
hypothesizes people learn better when training is distributed over time rather than
massed all at once. She conducts an experiment in which 32 participants are
randomly assigned to one of four conditions. Giving each subject several lessons to
learn, she systematically varies the period of time between each lesson: 0 minutes
between lessons (a massed learning condition), 10 minutes, 20 minutes, or 30
minutes. After the participants receive all of the lessons, they complete a 25-item test
measuring comprehension of the material. Their scores on the test are given below-
conduct a one-way ANOVA on these data.
Time Between Lessons
Time Between Lessons
O min 10 min 20 min 30 min
4
10
14
21
5
11
12
18
11
9
8
16
5
13
9
4
15
20
3
5
11
14
4
7
12
5
10
Transcribed Image Text:A researcher studying the effects of different learning techniques upon memory hypothesizes people learn better when training is distributed over time rather than massed all at once. She conducts an experiment in which 32 participants are randomly assigned to one of four conditions. Giving each subject several lessons to learn, she systematically varies the period of time between each lesson: 0 minutes between lessons (a massed learning condition), 10 minutes, 20 minutes, or 30 minutes. After the participants receive all of the lessons, they complete a 25-item test measuring comprehension of the material. Their scores on the test are given below- conduct a one-way ANOVA on these data. Time Between Lessons Time Between Lessons O min 10 min 20 min 30 min 4 10 14 21 5 11 12 18 11 9 8 16 5 13 9 4 15 20 3 5 11 14 4 7 12 5 10
Calculate the sample size (N), mean (Xi), and standard deviation (s) for
each group.
State the null and alternative hypotheses (Ho and H;).
Make a decision about the null hypothesis.
1. Calculate the degrees of freedom (df.
2. Set alpha (0), identify the critical value, and state a decision rule.
3. Calculate the F-ratio (F) and create an ANOVA summary table.
4. Make a decision whether to reject the null hypothesis.
5. Determine the level of significance.
6. Calculate a measure of effect size (R).
Draw a conclusion from the analysis.
Relate the result of the analysis to the rescarch hypothesis.
Transcribed Image Text:Calculate the sample size (N), mean (Xi), and standard deviation (s) for each group. State the null and alternative hypotheses (Ho and H;). Make a decision about the null hypothesis. 1. Calculate the degrees of freedom (df. 2. Set alpha (0), identify the critical value, and state a decision rule. 3. Calculate the F-ratio (F) and create an ANOVA summary table. 4. Make a decision whether to reject the null hypothesis. 5. Determine the level of significance. 6. Calculate a measure of effect size (R). Draw a conclusion from the analysis. Relate the result of the analysis to the rescarch hypothesis.
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