The values in the following matrix are treatment means from a two-factor study. One of the means is missing. What value for the missing mean would result in no main effect for Factor A? B1 B2
A1 6 8
A2 12 ?
a. 14
b. 10
c. 12
d. 2

(Please explain)

D) 2

the value for the missing mean would result in no main effect for Factor A is 2

Step-by-step explanation:

Given that;

              B1             B2

A1            6               8          

B1            12               ?

To find the missing mean;

lets missing mean be x

Here mean of A1

( 6 + 8 ) / 2 = 14 / 2 = 7  

Now mean of A2

(12 + x ) / 2 = 7

x + 12 = 14\x = 14 -12 = 2

Therefore the value for the missing mean would result in no main effect for Factor A is 2

so option d) is the correct answer