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.
Answer:
41 1/4
Step-by-step explanation:
Change 16 1/2 to a mixed number
16 1/2 = (2*16+1)/2 = 33/2
Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2
Multiply the turns per inch by the inches
33/2 * 5/2 =165/4
Change this back to a mixed number
4 goes into 165 41 times
41*4 = 164 there is 1 left over
41 1/4
.08 x .04 is the right answer
Answer:
2As and 1E
Step-by-step explanation:
Please mark as brainliest
Answer:
4x + 5 = 101
Step-by-step explanation:
<u>Step 1: Determine how much money both have</u>
Aylen: x
Rich: 5 + 3x
<u>Step 2: Write an equation and solve</u>
Aylen + Rich = 101
x + 5 + 3x = 101
<u>Step 3: Solve the equation</u>
x + 5 + 3x = 101
4x = 96
x = 24
Step 4: Determine how much money does Aylan and Rich have
Aylan has $24
Rich has 5 + 3(24) = $77
