Answer:
d. In three-way ANOVA, it equals the block sample mean.
Step-by-step explanation:
Blocks variation is the analysis of variance. Block variations equals sum of squared deviation between each block sample mean. ANOVA is a statistical technique designed to test mean of one or more quantitative populations. In two-way ANOVA it equals the block mean. Column block means square is three-way ANOVA. Block means square in two-way ANOVA without interactions the treatment mean square.
Answer:
m+2n+2p=16 tokens or m+2(n+p)= 16 tokens
Step-by-step explanation:
First, we must understand how many tokens they have.
Janie played the 3-token game four times, so she used 12 tokens (3n x 4 = 12). Jasmine played the 4-token game five times, so she used 20 tokens (4p x 5 = 20).
Added up, the girls have 32 tokens (12+20 = 32 tokens (t)).
In order to play a round of the three games, 9 tokens are required (m+n+p = 9 / 2+3+4 = 9) by each girl. (32t-18t=14) 14 tokens are left after taking a ride in every game each. 14 left divided by 2 will leave 7 more tokens for each girl. You can split these 7 tokens into an n+p = 7 tokens
Thus,
Each girl can ride as follows:
m+2n+2p=16 tokens or m+2(n+p)= 16 tokens
Answer:
Test statistics = 2.29
P-value = 0.01101
Step-by-step explanation:
We are given that a survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This year a new survey was conducted on a random sample of 200 students from this university, and it was found that 50 of them smoke.
Let Null Hypothesis, 
: p = 0.18 {means that the percentage of students who smoke has remained same at 18% over the last five years}
Alternate Hypothesis, 
: p > 0.18 { means that the percentage of students who smoke has increased over the last five years}
The test statistics used here will be ;
T.S. = 
~ N(0,1)
where, 
= sample proportion of students = 50/200 = 0.25
n = sample size = 200
So, test statistics = 
= 2.29
Now, P-value is given by = P(Z > 2.29) = 1 - P(Z <= 2.29)
= 1 - 0.98899 = 0.01101 or 1.101 %
Therefore, P-value of the test is 0.01101 .
(fg)x = f(g(x)) = 6(4x+1) = 24x + 6
Answer:
21y² +34 yx + 8x²
Step-by-step explanation:
Area of a rectangle is given by L×W where L is length, and W is width
Given L=3y+4x
W=7y+2x
Area= (3y+4x) × (7y+2x)
3y(7y+2x) + 4x(7y+2x)
21y² + 6yx +28yx+8x²
21y² +34 yx + 8x²
