Let:
x - green marbles
4x - red marbles
x/2 - blue marbles
x - green marbles
4x - red marbles
x/2 - blue marbles
Which one is bigger 95.580 or 95.58
2 answers:
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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!
Check the picture below
make sure your calculator is in Degree mode, if you need the angle in degrees
make sure your calculator is in Degree mode, if you need the angle in degrees
Length in units:
Use phytogoras theorem or measure it by a ruler if your using a graph paper
AB = 5.65 units
AC = 5.83 units
CB = 1.41 units
Perimeter =5.65 + 5.83 + 1.41 = 12.89 units
Area = 1/2 * 1.41 * 5.65 = 3.98units
