Question: System A System B System C Controller 1 15 15 19 Controller 2 14 14 14 Controller 3 10 11 16 Controller 4 14 13

System A System B System C
Controller 1 15 15 19
Controller 2 14 14 14
Controller 3 10 11 16
Controller 4 14 13 17
Controller 5 17 13 17
Controller 6 14 14 13

Set up the ANOVA table for this problem. Show the entries to 2 decimals, if necessary.

Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Treatments

fill in the blank 2

fill in the blank 3

fill in the blank 4

fill in the blank 5

Blocks

fill in the blank 6

fill in the blank 7

fill in the blank 8

Error

fill in the blank 9

fill in the blank 10

fill in the blank 11

Total

fill in the blank 12

fill in the blank 13

Source of Variation Sum of Squares Degrees of Freedom Mean Square F

Treatments ______________, __________________, _______________, _________________

Blocks ______________,__________________,_______________

Error ______________,__________________,_______________

total ______________,__________________

Calculate the value of the test statistic (to 2 decimals).

______________

Calculate the critical value (to 2 decimals).

___________

Calculate the p-value (to 4 decimals).

___________

Here was my attempt but I am being marked wrong for some reason

table {mso-displayed-decimal-separator:"\."; mso-displayed-thousand-separator:"\,";} tr {mso-height-source:auto;} col {mso-width-source:auto;} td {padding-top:1px; padding-right:1px; padding-left:1px; mso-ignore:padding; color:black; font-size:10.0pt; font-weight:400; font-style:normal; text-decoration:none; font-family:Arial, sans-serif; mso-font-charset:0; text-align:general; vertical-align:bottom; border:none; white-space:nowrap; mso-rotate:0;}

Anova: Two-Factor Without Replication
SUMMARY Count Sum Average Variance
Controller 1 3 49 16.33333333 5.333333333
Controller 2 3 42 14 0
Controller 3 3 37 12.33333333 10.33333333
Controller 4 3 44 14.66666667 4.333333333
Controller 5 3 47 15.66666667 5.333333333
Controller 6 3 41 13.66666667 0.333333333
System A 6 84 14 5.2
System B 6 80 13.33333333 1.866666667
System C 6 96 16 4.8
ANOVA
Source of Variation SS df MS F P-value
Rows 31.11111111 5 6.222222222 2.204724409 0.13455116
Columns 23.11111111 2 11.55555556 4.094488189 0.050229483
Error 28.22222222 10 2.822222222
Total 82.44444444 17
sig level (alpha) 0.1
test statistic 4.09
criticl value 2.92
p value 0.05
reject null? yes

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!