Question

An educator wants to evaluate four different methods aimed at reducing the time children spend "off task" in the classroom. To test these methods, she implements one method in each of four similar classrooms and records the time spent off task (in minutes) in each classroom. The results are given in the table.

Classroom Method | |||
---|---|---|---|

A | B | C | D |

2 | 4 | 3 | 3 |

1 | 3 | 6 | 2 |

3 | 2 | 5 | 5 |

6 | 0 | 5 | 4 |

4 | 0 | 0 | 3 |

1 | 5 | 4 | 3 |

2 | 1 | 0 | 2 |

4 | 4 | 4 | 4 |

0 | 2 | 3 | 0 |

(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 |

(b) Is it necessary to compute a post hoc test? Explain. (Assume
alpha equal to 0.05.)

Yes, post hoc analyses are appropriate because the ANOVA is significant.

No, post hoc analyses are not appropriate because the ANOVA is not significant.

You may need to use the appropriate table in Appendix C to answer
this question.

https://www.webassign.net/priviterastats3/priviterastats3_appendix_c.pdf

Answer #1

**Answer:**

Given Data

(a)The solution of the given problem is

Null hypothesis All means are equal

Alternative hypothesis At least one mean is different

Significance level α = 0.05

Equal variances were assumed for the analysis.

Summary of Data |
||||||

Treatments |
||||||

1 | 2 | 3 | 4 | 5 | Total | |

N | 9 | 9 | 9 | 9 | 36 | |

∑X | 23 | 21 | 30 | 26 | 100 | |

Mean | 2.5556 | 2.3333 | 3.3333 | 2.8889 | 2.778 | |

∑X2 | 87 | 75 | 136 | 92 | 390 | |

Std.Dev. | 1.8782 | 1.8028 | 2.1213 | 1.453 |

Factor Information

Factor Levels Values

Factor 4 A, B, C, D

Analysis of Variance

Source | SS | df | MS |

Between treatments | 5.1111 | 3 | 1.7037 |

Within treatments | 107.1111 | 32 | 3.3472 |

Total | 112.2222 | 35 |

F-Value = 0.50899

(B)

No, post hoc analyses are not appropriate because the ANOVA is not significant.

**Please upvote if you like the solution**

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
4
0
3
2
5
2
6
4
2
3
5
5
0
0
5
1
1
2
4
4
3...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
1
1
4
3
2
4
0
0
3
2
6
2
5
4
5
2
2
6
0
4
1...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom Method
A B C D
2 4 3 2
5 5 4 5
4 0 3 4
4 3 6 4
2 4 5 3
1...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom Method
A. B. C. D
2 4 3 2
5 5 4 5
4. 0. 3 4
4 3 6 4
2 4 5 3
1...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
4
0
0
4
1
5
6
3
3
2
4
2
5
1
4
3
2
1
1
2
4...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
1
1
0
3
1
5
0
2
4
3
4
4
4
4
3
5
0
2
3
4
5...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom Method
A
B
C
D
0
2
0
5
2
1
5
2
1
4
5
5
5
4
4
4
4
0
6
2
4...

Chapter 12 WebAssign
An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
2
0
0
0
1
5
3
5
3
0
3
4
1
3
4
3
4
1...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom
Method
A
B
C
D
2
0
0
3
5
1
0
2
0
0
3
5
4
3
5
4
1
3
3
2
3...

An educator wants to evaluate four different methods aimed at
reducing the time children spend "off task" in the classroom. To
test these methods, she implements one method in each of four
similar classrooms and records the time spent off task (in minutes)
in each classroom. The results are given in the table.
Classroom Method
A
B
C
D
4
3
3
3
2
5
0
4
0
0
6
4
6
2
5
4
1
4
4
5
4...

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