were recorded. Test the claim that at least one school has a different class size at a 0.10 level of significance. School A School B School C School D 45 41 37 38 48 50 35 27
were recorded. Test the claim that at least one school has a different class size at a 0.10 level of significance. School A School B School C School D 45 41 37 38 48 50 35 27
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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A school district has four schools, six classes from each school were randomly selected and the number of students in the class were recorded. Test the claim that at least one school has a different class size at a 0.10 level of significance.
| School A | School B | School C | School D |
| 45 | 41 | 37 | 38 |
| 48 | 50 | 35 | 27 |
| 42 | 39 | 31 | 23 |
| 47 | 35 | 33 | 24 |
| 48 | 48 | 34 | 33 |
| 26 | 45 | 38 | 36 |
The hypotheses for this ANOVA test would be:
H0:μA=μB=μC=μDH0:μA=μB=μC=μD
HA:HA: At least one mean is different. (claim)
α=0.10α=0.10
Complete the ANOVA table below: (round answers to 3 decimal places)
| SS | df | MS | F | p-value | |
| Between | |||||
| Within |
The decision of the test is to:
- do not reject H0H0
- reject H0H0
The final conclusion is:
- There is not enough evidence to reject the claim that at least one school has a different class size.
- There is enough evidence to reject the claim that at least one school has a different class size.
- There is enough evidence to support the claim that at least one school has a different class size.
- There is not enough evidence to support the claim that at least one school has a different class size.
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