<h2>
Answer with explanation:</h2>
The confidence interval for population mean is given by :-
(1)
, where 
= sample mean
z* = critical value.
SE = standard error
and 
, 
= population standard deviation.
n= sample size.
As per given , we have
n= 15
It is known that ring diameter is normally distributed.
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 99% two-sided confidence interval on the true mean piston diameter :
(using (1))
[Rounded to three decimal places]
∴ A 99% two-sided confidence interval on the true mean piston diameter = (74.020, 74.022)
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 95% lower confidence bound on the true mean piston diameter:
(using (1))
[Rounded to three decimal places]
∴ A 95% lower confidence bound on the true mean piston diameter= 74.020
Answer:
x >= 20
Step-by-step explanation:
Solve for x:
Start to isolate x by subtracting the 6 from both sides.
Then multiply 10 from each side.
After that, you would get x >= 20
The answer is C. 65........
Answer: D.The domain and range of the function are the same.
Step-by-step explanation: Given function f(x)=-√-x.
The given function is a square root function and we have minus sign in front of x inside square root.
A square root always defined for positive values or 0.
In order to get a positive number or 0 inside square root, let us solve the inequality:
On dividing both sides by -1, the inequality sign would get flip and we get
<h3>Domain:
</h3>
We can see that we have a negative sign in front of square root. So, the value of f(x) would be always a negative number or 0.
<h3>Therefore, range would also be :
.</h3><h3>Therefore, correct option is D option.</h3>
