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:
False
Step-by-step explanation:
It is given that Noah thinks :
9x - 2x + 4x = 3x as the subtraction sign after 9x tells us to subtract everything that comes after 9x.
This is wrong as according to the BODMAS rule, we have to do the addition operation first and then followed by subtraction operation.
That is
⇒ 9x - 2x + 4x
⇒ (9x -2x)+ 4x
⇒ 7x + 4x
⇒ 11x
Therefore the answer to the equation is 11x and not 3x.
Answer:
4 and 19
Step-by-step explanation:
One number : 4x+3 (this is 3 more than 4 times x)
Another number: x This is tricky because the main number for comparison is "another number", which is x
Sum of the #s is 23: Means add them and = 23, so
x+(4x+3) = 23
5x+3=23
5x=20
x=4 and the other # is 4x+3, so 4(3)+3=19
Given:
A Hudson Valley farmer has 26 employees.
Salary of each employee = $410 per week.
Remaining amount after one week = $126
To find:
The initial amount of money he begins with.
Solution:
We have,
Amount he pays to one employee in one week = $410
Amount he pays to 26 employee in one week = 26 × $410
= $10660
Let x be the initial amount of money he begins with.
Remaining amount = Initial amount - Amount he pays to 26 employee in one week
Therefore, the initial amount of money he begins with is $10786.
For the area just multiply x^2y^3 by 2.