Answer:
a) CI = ( 5,1 ; 5,7 )
b) SE = 0,1
Step-by-step explanation:
a) Sample random n = 100
Mean = μ = 5,4
Standard deviation s = 1,3
CI = 99 % α = 1 % α = 0,01 α/2 = 0,005
z(c) for 0,005 is from z-table z(c) = 2,575
z(c) = ( X - μ ) /s/√n CI = μ ± z(c) * s/√n
CI = 5,4 ± 2,575* 1,3/10
CI = 5,4 ± 0,334
CI = ( 5,1 ; 5,7 )
b) SE = Standard deviation / √n
SE = 1,3 /10 SE = 0,1
We can support that with 99 % of probability our random variable will be in the CI.
Answer:
D. x<2
Step-by-step explanation:
-1+ 6-1-3x) >- 39 - 2x
Multiply the parentheses by 6
- 1-6 - 18x > - 39 - 2x
Calculate
7- 18x > - 39 - 2x
Move the terms
18x + 2x > -39 +7
Collect like terms Calculate
- 16x>-32
Divide both sides by - 16
x < 2
Answer:28
Step-by-step explanation:
Re-arrange either ascending or descending order
20,22,28,32,33
The middle one is 28
Let's Re-arrange in descending
33,32,28,22,20
Same thing as the first step 28
Answer:
b=4
Step-by-step explanation:
P.T.c^2=a^2 +b^2
5^2=3^2 +b^2
25=9+b^2
b^2 =25-9
b^2 =16
b=sqrt(16)
b=4