Answer:
= 1.56
Step-by-step explanation:
Hello!
You have two independent samples of fertilizers from distributor A and B, and need to test if the average content of nitrogen from fertilizer distributed by A is greater than the average content of nitrogen from fertilizer distributed by B.
Sample 1
X₁: Content of nitrogen of a fertilizer batch distributed by A
n₁= 4 batches
Sample mean X₁[bar]= 23pound/batch
σ₁= 4 poundes/batch
Sample 2
X₂: Content of nitrogen of a fertilizer batch distributed by B
n₂= 4 batches
Sample mean X₂[bar]= 18pound/batch
σ₂= 5 pounds/batch
Both variables have a normal distribution. Now since you have the information on the variables distribution and the values of the population standard deviations, you could use a pooled Z-test.
Your hypothesis are:
H₀: μ₁ ≤ μ₂
H₁: μ₁ > μ₂
The statistic to use is:
Z= <u> X₁[bar] - X₂[bar] - (μ₁ - μ₂) </u>~N(0;1)
√(δ²₁/n₁ + δ²₂/n₂)
=<u> </u>(<u>23 - 18) - 0 </u> = 1.56
√(16/4 + 25/4)
I hope this helps!
Solutions
3 + 7 > unknown
10 > Answer
The answer to this question can be any number less than 10. Therefore the answer could be either of -8, -3, 0, 1, 2, 3, 9.
A quadrilateral is a shape that has four equal sides.
For example: squares, rectangles, parallelogram
A parallelogram is a quadrilateral with 2 pairs of parallel sides.
A square can't be in the hierarchy under trapezoids, rectangles,or rhombus.
To make a cake :-
Quantity of flour needed = 500 g
Quantity of butter needed = 450 g
Quantity of sugar needed = 470 g
Quantity of mixed fruit needed = 1.8 kg = 1000 g + 800 g
Quantity of eggs needed = 70 × 4 = 280 g
It's weight after adding all the ingredients =
=500 + 450 + 470 + 1000 + 800 + 280
= 3500 g
Mass that got lost while baking the cake :
<h3>= 12 % of 3500 </h3>
Final mass = Initial mass - mass that got lost
∴ The final mass of the cake is 3080 g .
P= 3
Q= -14
R= -5
Step-by-step explanation:
Just solve the equation on the right side, you'll get:
=3x^2 -15x +x -5
=3x^2 -14x -5
Now compare it to the equation on the left side,
The coefficient of x^2 on the left is "p", on the right that we just solved is 3.
Same for "q" which is the coefficient on the left, on the right it's -14.
And for "r" it's -5 from the equation on the right.
