Answer:
a)= 2
b) 6.324
c) P= 0.1217
Step-by-step explanation:
a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)
b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by
σ_X`1- X`2 = √σ²/n1 +σ²/n2
Var ( X`1- X`2) = Var X`1 + Var X`2 = σ²/n1 +σ²/n2
so
σ_X`1- X`2 =√20 +20 = 6.324
if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.
Where as Z is normally distributed with mean zero and unit variance.
If we take X`1- X`2= 0 and u1-u2= 2 and standard deviation of the sampling distribution = 6.324 then
Z= 0-2/ 6.342= -0.31625
P(-0.31625<z<0)= 0.1217
The probability would be 0.1217
Answer:
d. quadrilateral
Step-by-step explanation:
Answer:
121 1/2
Step-by-step explanation:
27/d = 4.5
*27 *27
d = 121.5
d = 121 1/2
Answer:
x=20
Step-by-step explanation:
These angles are vertical angles so they are equal.
7x-99 = 2x+1
Subtract 2x from each side
7x-2x -99 = 2x-2x+1
5x -99 =1
Add 99 to each side
5x-99+99 = 1+99
5x = 100
Divide each side by 5
5x/5 =100/5
x = 20