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
Answer:
Option b is the correct answer as both the equations are true for given solution.
Step-by-step explanation:
Given equations are:
-0.1x-0.3y=1.2
0.2x-0.5y=2
We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution
<u>For option A:</u>
(0,4)
Putting x=0 and y = 4 in both equations
This is not the correct answer as both equations are not true with this solution
<u>For Option B:</u>
(0,-4)
Putting x = 0 and y = -4 in both equations
Both equations are true for (0,-4) hence it is the solution of the system.
<u>For Option C:</u>
(4,0)
Not true for both equations
Hence,
Option b is the correct answer.
1 yard equals three ft so 26 / 3
Answer:
Step-by-step explanation:
201.50/13 =p 201.50/13=15.50 c /u
B is a times b
C is also a times b
sorry im stuck on the rest
