Question

To test whether students in a higher grade level will be less disruptive in class, a school psychologist records the number of documented interruptions during one day of classes from nine local high schools. The sample consisted of nine

(* n* = 9)

freshman, sophomore, junior, and senior high school classes. The data for each high school class are given in the table.

High School Class | |||
---|---|---|---|

Freshman | Sophomore | Junior | Senior |

0 | 4 | 3 | 2 |

5 | 0 | 3 | 3 |

4 | 1 | 4 | 5 |

1 | 4 | 0 | 0 |

1 | 2 | 6 | 4 |

3 | 5 | 0 | 4 |

2 | 2 | 5 | 4 |

2 | 0 | 6 | 3 |

4 | 3 | 4 | 2 |

(a) Complete the *F*-table. (Round your answers to two
decimal places.)

Source of Variation |
SS |
df |
MS |
F |
---|---|---|---|---|

Between groups |
||||

Within groups (error) |
||||

Total |

Answer #1

The statistical software output for this problem is:

Hence,

a) F table is:

Source | SS | DF | MS | F-Stat |
---|---|---|---|---|

Columns | 7.19 | 3 | 2.40 | 0.72 |

Error | 106.44 | 32 | 3.33 | |

Total | 113.64 | 35 |

To test whether students in a higher grade level will be less
disruptive in class, a school psychologist records the number of
documented interruptions during one day of classes from nine local
high schools. The sample consisted of nine
(n = 9)
freshman, sophomore, junior, and senior high school classes. The
data for each high school class are given in the table.
High School
Class
Freshman
Sophomore
Junior
Senior
5
0
4
1
4
3
3
2
2
0
6...

To test whether students in a higher grade level will be less
disruptive in class, a school psychologist records the number of
documented interruptions during one day of classes from nine local
high schools. The sample consisted of nine
(n = 9)
freshman, sophomore, junior, and senior high school classes. The
data for each high school class are given in the table.
High School
Class
Freshman
Sophomore
Junior
Senior
4
0
5
3
5
1
4
5
3
4
3...

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Dr. Smith believes that there may be a difference in grades
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Grade
Senior
Junior
Sophomore
Freshman
Total
A
10
7
1
1
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2
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1
F
1
3
3
4
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Step 1: State hypotheses and check
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Step 3: Determine the
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Step 4: Make a decision (reject or fail
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Does college grade point average (GPA) depend on gender? Does it
depend on class (freshman, sophomore, junior, senior)? In a study,
the following GPA data were obtained for random samples of college
students in each of the cells.
Class
Gender
Freshman
Sophomore
Junior
Senior
Male
2.8 2.1
2.7 3.0
2.5 2.3
2.9 3.5
3.1 2.9
3.2 3.8
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3.5 3.9
2.6 2.4
3.3...

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A survey looked at the value of recreational sports on college
campuses. One of the questions asked each student to rate the
importance of recreational sports to college satisfaction and
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following table summarizes these results:
Class
n
Mean score
Freshman
Sophomore
Junior
Senior
720
536
595
437
7.6
7.6
7.5
7.3
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Business faculty at a prestigious community college wanted to
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