Answer:
standard error = 2.11
Step-by-step explanation:
First we stablish the data that we have for each sample:
<u>Population 1</u> <u>Population </u>2
n₁ = 100 n₂ = 90
x¯1= 95 x¯2 = 75
σ₁ = 14 σ₂ = 15
To calculate the standard error of each sample we would use the formulas:
σ = σ₁/√n₁
σx¯2 = σ₂/√n₂
Now, in order to obtain the standard error of the differences between the two sample means we combine those two formulas to obtain this:
σx¯1 - σ x¯2 = √(σ₁²/n₁ + σ₂²/n₂ )
So as you can see, we used the square root to simplify and now we require the variance of each sample (σ²):
σ₁² = (14)² = 196
σ₂² = (15)² = 225
Now we can proceed to calculate the standard error of the distribution of differences in sample means:
σx¯1 - σx¯2 = √(196/100 + 225/90) = 2.11
This gives an estimate about how far is the difference between the sample means from the actual difference between the populations means.
7 1/8 is greater than 7.025
Answer:
8 cm
Step-by-step explanation:
Answer:
-2; -7
Step-by-step explanation:
Hello, the graph is split in two lines, right?
Go to the first line at the left and move to the right until you reach the end of the line, which is for x = -1,
*** This is the meaning of x tending to
***
which value can you see for the y-axis? 
Now, go to the second line at the right and move to the left until you reach the end of the line, which is for x = -1,
*** This is the meaning of x tending to
***
which value can you see for the y-axis?
Thanks
Chair=4x
lamp=x
table=4x-23
4x+x+4x-23=562
9x=585
x=585/9
x=65
4x=260
4x-23=237
