Answer:
a) 74.0353 < u < 74.0367
b) 74.036 < u
Step-by-step explanation:
Given:
- Sample size n = 15
- Standard deviation s.d = 0.0001 in
- Sample mean x_bar = 74.036
Find:
A) Calculate the 99% two-sided confidence interval on the true mean piston diameter.
Solution:
- For 99% CI, We have a = 0.01 , and Z_a/2 = 2.58
------> (x_bar - Z_a/2*s.d / sqrt(n)) < u < (x_bar + Z_a/2*s.d / sqrt(n))
------> (74.036 - 2.58*0.0001 / sqrt(15)) < u < (74.036 + 2.58*0.0001 / sqrt(15))
------> 74.0353 < u < 74.0367
Find:
B) Calculate the 95% one-sided lower confidence interval on the true mean piston diameter.
Solution:
- For 95% lower CI, We have a = 0.05 , and Z_a = 1.645
------> (x_bar - Z_a/2*s.d / sqrt(n)) < u
------> (74.036 - 1.645*0.0001 / sqrt(15)) < u
------> 74.036 < u
4, there is 3 radii OA, OC and OB
2nd choice
5. there is one chord BC
first choice
6. 3 central angles:
AOC, AOB, BOC
first choice
There are 27 men in the train car.
69-15=54
54 divided by 2 = 27
Answer:
$7803.72
Step-by-step explanation:
We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.
First of all, we will find the volume of silo using volume of cone formula.
, where,
r = radius
h = Height
We know that radius is half the diameter, so radius of silo would be 
.
Now we will multiply total volume by $414 to find total cost.\
Therefore, it will cost $7803.72 to fill the silo with soybeans.
