Question
The inside diameter of certain type piston ring follows normal distribution with mean 9.3 cm, and...
The inside diameter of certain type piston ring follows normal distribution with mean 9.3 cm, and standard deviation 0.06 cm. A sample of size 12 is selected from these pistons, and suppose [(x)] denotes the sample mean.
1. What is the expected value of [(x)]? Answer to 1 decimal place.
2. What is the standard deviation of [(x)]? Answer to 3 decimal places.
3. What is the probability that the sample mean [(x)] will exceed 9.312 cm? Answer to 4 decimal places.
Homework Answers
Answer #1
Solution:-
Given
,
n = 12
The expected value of 
The standard deviation of 
is 
= 0.0173
The probability that the sample mean
will exceeds 9.312
Not the answer you're looking for?
Similar Questions
a quality control engineer is responsible for maintaining the process quality on the inside diameter of...
a quality control engineer is responsible for maintaining the
process quality on the inside diameter of a piston ring in a
manufacturing process. it is believed that the inside diameter is
normally distributed with a mean of 1.50 and standard deviation of
0.15
a) what is the probabilty that the mean of a randomly selected
part has a diameter greater than 1.6?
b) what is the probabilty that the mean of a random sample of 25
pistons rings has a...
A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is...
A manufacturer produces piston rings for an automobile engine.
It is known that ring diameter is approximately normally
distributed. A random sample of 15 rings has a mean diameter of x
̅=74.036 mm with a standard deviation of 0.02 mm.
(a) Test the hypothesis that the mean piston ring
diameter is 74 mm using the P-value method. Use α = 0.01.
(b) Construct a 99% two-sided confidence interval on
the mean piston ring diameter.
(c) Construct a 95% lower-confidence limit...
The piston diameter of a certain hand pump is 0.7 inch. The manager determines that the...
The piston diameter of a certain hand pump is 0.7 inch. The
manager determines that the diameters are normally distributed,
with a mean of 0.7 inch and a standard deviation of 0.003 inch.
After recalibrating the production machine, the manager randomly
selects 23 pistons and determines that the standard deviation is
0.0021 inch. Is there significant evidence for the manager to
conclude that the standard deviation has decreased at the alpha
equals 0.10 level of significance? Use technology to determine...
The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the...
The piston diameter of a certain hand pump is 0.4 inch. The
manager determines that the diameters are normally distributed,
with a mean of 0.4 inch and a standard deviation of 0.003 inch.
After recalibrating the production machine, the manager randomly
selects 21 pistons and determines that the standard deviation is
0.0021 inch. Is there significant evidence for the manager to
conclude that the standard deviation has decreased at the 0.10
level of significance? What is the P-value?
The inner-diameter of piston rings follows a normal distribution with mean 75mm and variance = 9....
The inner-diameter of piston rings follows a normal distribution
with mean 75mm and variance = 9. The sample size is 5.
(1) If L=2, what is Type I error rate when the process is under
in-control?
(2) If we set the control limits to UCL=78.354 and LCL=71.646,
what is Type I error rate?
The weight of a certain type of fishes follows a normal distribution with mean 250 grams...
The weight of a certain type of fishes follows a normal
distribution with mean 250 grams and standard deviation 20
grams.
(a) Find the probability that the weight of a fish will be less than
260 grams.
(b) Find the probability that the weight of a fish will exceed 245
grams.
(c) Find the probability that the weight of a fish will be from 200
to 270 grams.
(d) Find the weight of the fish that exceeds 90% of the...
The piston rings are used to reject when a certain dimension is not within the specifications...
The piston rings are used to reject when a certain dimension
is not within the specifications 1.5±d.
It is known that this measurement is normally distributed with mean
1.50 mm and standard deviation 0.20 mm.
(4).
Find the value d such that the specifications cover 90% of the
measurements.
(5).
What is the probability that the measurement of a selected piston
ring will be more than 3 mm?
The piston rings are used to reject when a certain dimension is not within the specifications...
The piston rings are used to reject when a certain
dimension is not within the specifications 1.5±d.
It is known that this measurement is normally distributed with mean
1.50 mm and standard deviation 0.20 mm.
(4). Find the value d such that the specifications cover
90% of the measurements.
(5). What is the probability
that the measurement of a selected piston ring will be more than 3
mm?
A certain type of stainless steel powder is supposed to have a mean particle diameter of...
A certain type of stainless steel powder is supposed to have a
mean particle diameter of μ = 15 μm. A random sample of 86
particles had a mean diameter of 15.2 μm, with a standard deviation
of 1.8 μm. A test is made of H0 : μ = 15 versus H1 : μ ≠ 15.
Find the P-value. Round the answer to four decimal places.
Numeric Response
The lifetime of a certain battery follows a normal distribution with a mean 276 minutes and...
The lifetime of a certain battery follows a normal distribution
with a mean 276 minutes and standard deviation 25 minutes. We took
a random sample of 100 of these batteries. What is the probability
that the sample mean of the lifetime will be less than 270
minutes?
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 9 minutes ago
asked 13 minutes ago
asked 29 minutes ago
asked 54 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago