Question

In: Statistics and Probability

(4). Find the value d such that the specifications cover 90% of the measurements. (5). What...

(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 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.?
(. What is the probability that the measurement of a selected piston ring will be more than 3 mm?

Solutions

Expert Solution

Answer:-

Given That:-

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.

Given

mm

mm

X is random variable of dimension of piston ring.

We know for standard normal distribution 90% area lies between -1.645 to + 1.645

Therefore 90% area lies between 1.645 standard deviation

Therefore d = 1.645 ()

= 0.329

(4). Find the value d such that the specifications cover 90% of the measurements.?

Value of d = 0.329

Lower specification limit = 1.5 - 0.329

= 1.171 mm

Upper specification limit = 1.5 + 0.329

= 1.829 mm

(5) What is the probability that the measurement of a selected piston ring will be more than 3 mm?

= P(Z > 7.5)

= 1 - P ( Z < 7.5)

= 1 - 1

= 0

Therefore Around 0% ring have more than 3 mm dimension.

Plz like it.....,


Related Solutions

Find the value of a : b : c : d, if a : b = 2 : 3, b : c = 4 : 5 and c : d = 6 : 7.
Find the value of a : b : c : d, if a : b = 2 : 3, b : c = 4 : 5 and c : d = 6 : 7.
5. Find the probability for the following A. What is the probability if z value is...
5. Find the probability for the following A. What is the probability if z value is at least 2 (z=2 and more)? B. What is the probability if z value is maximum 2 (z=2 and less)? C. What is the probability if z value is between -2 and +1.25?
1. Find the missing value A, B, C, D
Refer to the table below.QuantityVariable Cost (in dollars)Fixed Costs (in dollars)Total Costs (in dollars)Average Variable Costs (in dollars per unit)Average Total Costs (in dollars per unit)Marginal Costs (in dollars per unit)00A40------1154055155515235407517.537.520360401002033.3254904013022.532.530512540165C33356B40D26.633.3351. Find the missing value A, B, C, D2. Continue to refer to this table. If the firm produces 5 units that it sells for $40.00 each, what will its profits or losses equal?Select one:a. losses equal $75b. losses equal $35c. profits equal $75d. profits equal $353. Continue to refer...
A) Find the z critical value for a 90% confidence level: Zc= B) Find the z...
A) Find the z critical value for a 90% confidence level: Zc= B) Find the z critical value for an 84% confidence level: Zc= C) The higher the confidence, the narrower the confidence interval True or False D) The greater the sample size, the mnarrower the confidence interval True or False E) In a recent study of 84 eighth graders, the mean number of hours per week that they watched TV was 22.3. Assume population standard deviation is 5.8 hours....
4. What are the material properties to be input in 2-D stress-strain analysis? 5. What are...
4. What are the material properties to be input in 2-D stress-strain analysis? 5. What are the two sources of errors in FEA modeling? Explain.
D. What is Nursing? 4. Discuss the ANA definition of nursing. 5. Explain the meaning of...
D. What is Nursing? 4. Discuss the ANA definition of nursing. 5. Explain the meaning of caring to nursing. 6. Compare and contrast the art of nursing with the science of nursing. 7. Compare and contrast the major nursing roles.
Consider the following. n = 8 measurements: 4, 3, 7, 8, 5, 6, 4, 6 Calculate...
Consider the following. n = 8 measurements: 4, 3, 7, 8, 5, 6, 4, 6 Calculate the sample variance, s2, using the definition formula. (Round your answer to four decimal places.) s2 = Calculate the sample variance, s2 using the computing formula. (Round your answer to four decimal places.) s2 = Find the sample standard deviation, s. (Round your answer to three decimal places.) s =
n = 8 measurements: 5, 3, 6, 7, 6, 5, 4, 7 Calculate the sample variance,...
n = 8 measurements: 5, 3, 6, 7, 6, 5, 4, 7 Calculate the sample variance, s2, using the definition formula. (Round your answer to four decimal places.) s2 = Calculate the sample variance, s2 using the computing formula. (Round your answer to four decimal places.) s2 =   Find the sample standard deviation, s. (Round your answer to three decimal places.) s =
​​​​​ Find the critical value needed to construct a 90% CI of a population mean µ...
​​​​​ Find the critical value needed to construct a 90% CI of a population mean µ with a known standard deviation and sample size of 3                          A) t/2 = 1.691          B) t/2 = 1.694                   C) t/2 = 1.307     D) z/2 = 1.645 Find the critical value needed to construct a 90% CI of a population mean µ with unknown standard deviation and sample size of 35.                          A) t/2 = 1.691          B) t/2 = 1.694    ...
** NEED MATLAB** design a cam with harmonic and cycloidal rise and 3-4-5 polynomial fall specifications:...
** NEED MATLAB** design a cam with harmonic and cycloidal rise and 3-4-5 polynomial fall specifications: *Cycloidal rise (0◦ < θ < 80◦) from 0 mm to 20 mm *Dwell (80◦ < θ < 100◦) *Harmonic rise (100◦ < θ < 180◦) from 20 mm to 30 mm *Dwell (180◦ < θ < 210◦) *3-4-5 Polynomial fall (210◦ < θ < 300◦) from 30 mm to 0 mm *Dwell (300◦ < θ < 360◦) •the radius of the base circle...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT