Answer:
99% CI:
Step-by-step explanation:
We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.
First, we have to estimate the standard deviation
The MSE can be calculated as
The weighted sample size nh can be calculated as
The standard deviation then becomes
The z-value for a 99% confidence interval is z=2.58.
The difference between means is
Then the confidence interval can be constructed as
Answer:
a=2.48
c=9.52
Step-by-step explanation:
a+c=12
4a+7.5c=72.5 Given
a+c=12
-4a-7.5c=-72.5 multiply the equation by negative 1
-3a-6.5c=-60.5 simplify
-3a=-60.5+6.5c add 6.5c to both sides
a=-20.17+2.17c divide it by 3
now you would take that equation and plug it into an equation you already have since you have something to plug in for a, the easiest one to do is a+c=12
(-20.17+2.17c)+c=12 plug in the equation
-20.17+3.17c=12 simplify by solving for c
3.17c=30.17 add 20.17 to both sides
c=9.52 divide both sides by 3.17
now since you have found c, you can plug it in to you equation to solve for a now (use the ones from the second step). I am using the equation a+c=12.
a+9.52=12 plug in the variable and solve for a
a=2.48 subtract 9.52 to both sides
a=2.48
c=9.52
Answer:
30
Step-by-step explanation:
We can find the lcm of 2 3 and 6, which is 30
30/2=15
30/3=10
30/6=5
so, it works!
