Answer:

Step-by-step explanation:
as with all functions f(t), the average rate of change on [a.b] is

<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: 9
Step-by-step explanation:
Based on the information given in the question, the expected number of people who pass will be calculated as:
= Probability of passing the driving test × Number of people tested
= 65% × 15
= 0.65 × 15
= 9.75
Therefore, expected number of people who pass is 9.