The Mean = (135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85 ) : 12 = 111.166
The smallest value : 69
The greatest value : 161
s² = ∑( x i - x )² / ( n - 1 )
s² = ( 568.274 + 1613.3 + 1777.97 + 971.32 + 2193.42 + 1667.4 + +2483.42 + 230 + 117.38 + 46.7 + 584 + 684.66 ) : 11
s² = 1176.1676
s = √s² = √1176.1676
s ( Standard deviation ) = 34.295
All the values fall within 2 standard deviations:
x (Mean) - 2 s and x + 2 s
Answer:
dav d
Step-by-step explanation:
Answer:
w/2 = 7.5/5
3kg
Step-by-step explanation:
Remaining question below:
Which proportion could Maddy use to model this situation?
a. w/2 = 7.5/5
b. w/7.5 = 5/2
Solve the proportion to determine the weight of a 2 liter jug.
_____kg
5 liters jug of sport drink weighs 7.5kg
2 liters jug of sport drink will weigh x kg
Find w
Ratio of weight to volume
7.5kg : 5liters=7.5/5
wkg : 2 liters=w/2
Equates the ratio
7.5 / 5 = w / 2
Cross product
7.5*2=5*w
15=5w
Divide both sides by 5
3=w
w=3kg
Therefore, weight of the 2liters jug of sport drink is 3kg
Answer:
N=27 participants
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
If we assume that we have
independent variables and we have
individuals, we can define the following formulas of variation:
And we have this property
The degrees of freedom for the model on this case is given by
where k =2 represent the number of variables.
The degrees of freedom for the error on this case is given by
. Sinc we know k we can find N.

And the total degrees of freedom would be 
On this case the correct answer would be N=27 participants
If there is a 20% discount of a 250$ microwave, then price will be 200$. That is because 20% of 250 is 50, so you subtract 50 from 250, and get your answer: 200$.
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