Answered: . For this process, what is the…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...

See similar textbooks

Related questions

Concept explainers

Question

A particular manufacturing design requires a shaft with a diameter of 24.000 mm, but shafts with diameters between 23.991 mm and 24.009 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 24.002 mm and a standard deviation of 0.006 mm.

Complete parts (a) through (d) below.

a. For this process, what is the proportion of shafts with a diameter between

23.991 mm and 24.000 mm?

The proportion of shafts with diameter between 23.991 mm and

24.000 mm is 0.3361.

(Round to four decimal places as needed.)

b. For this process, what is the probability that a shaft is acceptable?

The probability that a shaft is acceptable is 0.8450

(Round to four decimal places as needed.)

c. For this process, what is the diameter that will be exceeded by only

5% of the shafts?

The diameter that will be exceeded by only

5% of the shafts is 24.0119 mm.

d. What would be your answers to parts (a) through (c) if the standard deviation of the shaft diameters were

0.005 mm?

If the standard deviation is

0.005 mm, the proportion of shafts with diameter between 23.991 mm and 24.000 mm is 0.3307.

(Round to four decimal places as needed.)

If the standard deviation is 0.005 mm, the probability that a shaft is acceptable is .

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,