3.5 The mean square for error in the ANOVA provides an estimate of (a) The variance of the random error (b) The variance of an individual treatment average (c) The standard deviation of an individual observation (d) None of the above

(B) The variance of an individual treatment average

Step-by-step explanation:

ANOVA = Analysis of Variance

The correct answer is (B)

The mean square for error (MSE) in the analysis of variance (ANOVA) provides an estimate of the variance of an individual treatment average.

Unlike option C which refers to an individual observation, option B refers to a group of observations which are classified into a single treatment sample. The MSE measures (gives an estimate of) the variation within this treatment sample. In this case, the variation is in the average or the mean. This could be average texture, average strength, average penetration, etc.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.