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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Need help with a and b
(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:(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.)
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
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
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman