a) What type of experimental design is this? The design is a-Select- factorial experiment with What are the ex-Select- nits? O elementar O fourth-gra O genders 2X3 O school boa O standardiz 2 X 4 2X2 What are the fa elementary sch fourth-grade st 3 X 4 3X3 genders school boards standardized reading tests 4X4 ests endent variables) and levels of interest to the school board? (Enter 0 if the listed item is not a factor.) levels levels levels levels levels (b) Do the data indicate that the effect of gender on the average test score is different depending on the student's school? Test for an interaction using ∞ = 0.05. State the null and alternative hypotheses. O Ho: There are differences among the factor means. H: There are no differences among the factor means. O Ho: The factors of school and gender interact. H: The factors of school and gender do not interact. O Ho: The factors of school and gender do not interact. H: The factors of school and gender interact. O Ho: The factors of school and gender interact. H₂: There are differences among the factor means. O Ho: There are no differences among the factor means. H: There are differences among the factor means. replications. Find the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.)
a) What type of experimental design is this? The design is a-Select- factorial experiment with What are the ex-Select- nits? O elementar O fourth-gra O genders 2X3 O school boa O standardiz 2 X 4 2X2 What are the fa elementary sch fourth-grade st 3 X 4 3X3 genders school boards standardized reading tests 4X4 ests endent variables) and levels of interest to the school board? (Enter 0 if the listed item is not a factor.) levels levels levels levels levels (b) Do the data indicate that the effect of gender on the average test score is different depending on the student's school? Test for an interaction using ∞ = 0.05. State the null and alternative hypotheses. O Ho: There are differences among the factor means. H: There are no differences among the factor means. O Ho: The factors of school and gender interact. H: The factors of school and gender do not interact. O Ho: The factors of school and gender do not interact. H: The factors of school and gender interact. O Ho: The factors of school and gender interact. H₂: There are differences among the factor means. O Ho: There are no differences among the factor means. H: There are differences among the factor means. replications. Find the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 6SGR
Related questions
Question
Need help with a and b
Transcribed Image Text:(a) What type of experimental design is this?
The design is a-Select- factorial experiment with
What are the ex-Select-
O elementar
O fourth-gra
O genders 2X3
O school boa
O standardiz 2 X 4
2X2
What are the fa
elementary sch
fourth-grade st 3 X 4
3X3
Inits?
genders
school boards
standardized reading tests
4X4
ests
endent variables) and levels of interest to the school board? (Enter 0 if the listed item is not a factor.)
levels
levels
levels
levels
levels
(b) Do the data indicate that the effect of gender on the average test score is different depending on the student's school? Test for an interaction using a = 0.05.
State the null and alternative hypotheses.
O Ho: There are differences among the factor means.
H₂: There are no differences among the factor means.
O Ho: The factors of school and gender interact.
H₂: The factors of school and gender do not interact.
O Ho: The factors of school and gender do not interact.
H: The factors of school and gender interact.
replications.
O Ho: The factors of school and gender interact.
H: There are differences among the factor means.
OH: There are no differences among the factor means.
H₂: There are differences among the factor means.
Find the test statistic. (Round your answer to two decimal places.)
F =
Find the p-value. (Round your answer to three decimal places.)
Transcribed Image Text:Gender School 1
Male
Female
Mean
700
650
600
550
634
500
567
620
543
560
668
641
600
610
558
School 2
1
DF
3
1
643
3
32
39
Analysis of Variance for Score
Source
SS
School
Gender
School Gender
Error
Total
710
648
2
597
660
723
768
722
648
767
School 3
249508.7
5880.6
10402.5
94715.2
360507.0
Fehool
3
654
614
755
692
620
708
545
656
723
714
School 4
4
350
565
542
1
508
491
505
499
471
Main Effects Plot For Score
Data Means
470
462
F
P
83169.5583 28.10 0.000
5880.6250 1.99 0.168
3467.4917 1.17 0.336
2959 8500
MS
THERE
2
Gender
0
Mean
750
700
650
600
550
500
Interaction Plot For Score
Data Means
Gender
2
School 2
School 3
School 1
School 4
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