A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with milli
meters. A random sample of 15 rings has a mean diameter of . Construct a 99% two-sided confidence interval on the true mean piston diameter and a 95% lower confidence bound on the true mean piston diameter. Round your answers to 3 decimal places. (a) Calculate the 99% two-sided confidence interval on the true mean piston diameter.
1 answer:
Complete Question:
A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with ? = 0.001 millimeters. A random sample of 15 rings has a mean diameter of \bar{X}= 74.106. Construct a 99% two-sided confidence interval on the true mean piston diameter and a 95% lower confidence bound on the true mean piston diameter.
(Round your answers to 3 decimal places.)
(Calculate the 99% two-sided confidence interval on the true mean piston diameter.
Answer:
99% true sided confidence Interval on the true mean Piston diameter = (74.105, 74.107)
Step-by-step explanation:
Check the attached file for the complete solution
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Answer:
It takes 2.8 seconds for the ball to fall 215 ft.
Step-by-step explanation:
We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.
Setting up the equation.
The motion equation is given by
We can replace there s = 215 ft to get
Solving for the time t.
From the previous equation we can move all terms in one side to get
At this point we can solve for t using quadratic formula.
where a, b and c are the coefficients of the quadratic equation
So we get
Replacing on the quadratic formula we get
Using a calculator we get
Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.
We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.