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:
5^18.
Step-by-step explanation:
By the law of indices:
(a^b)^c = a^(bc)
So (5^3)^6
= 5^(3*6)
= 5^18.
You divide 2930 by 34 to get about 86.1765
(I think)
Answer:
<u>Pete jumped the rope 139 times</u>
Step-by-step explanation:
Let's answer the question this way, adding the four numbers given:
38 + 50 + 22 + 29 =
88 + 51 =
139
<u>Pete jumped the rope 139 times</u>
Step-by-step explanation:
1. 10s2 + 10s2 - 13st = 20s2-13st
2. 13st + - 2st - t2 = 11st - t2
3. x2+ x2 + x3= 2x2 + x3
4. 6 x - 6 x + 2=X+2
5. 24x - 3s - 4t=24x - 3s - 4t
6. 86 + 86x - 1=85+86x
7. 4x + 3x - 2 =7x - 2
8. 7s - 4s + 3s =6s
9. 12 +11x - 10 x = 12+x
10. 12x + 24 x - 3 x - 4 =33x -4
11. 16t + 8t - 12t =12t
12. 17g + 19g - 2g +g =35g
13. 16 + 16 -16 + 16x =16+16x
14. 4s - 3s + 3s =4s
15. 12t - 11t + t =2t
