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:
It is already in an increasing order
1. 4x - 8 Highest
2. 3x - 2
3. 2x + 1
4. 1x - 0 Lowest
Step-by-step explanation:
1. 56
2. 25
3. 9
4. 1
Answer:
120 distinct results are possible if no child is to receive more than one gifts.
Step-by-step explanation:
When the order is not important, we use the combination formula:
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.
In this problem, we have that:
Combinations of 7 from a set of 10 elements. So
120 distinct results are possible if no child is to receive more than one gifts.
Answer:
I don't understand what this is.
Step-by-step explanation:
The answer is 8 and yea it’s 2 steps first u have to remove the constant so u subtract 74-2=72 and 2-2=0. After u get rid of the constant u divide both sides by 9 basically 72/9 and 9/9 which is 8. So n is equal to 8 I hope this helped. I know it can be confusing