The Rockwell hardness of a metal is determined by impressing a point into the surface of the metal and then measuring the depth of penetration of point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3. (Rockwell hardness is measured on a continuous scale.)
(1). If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?
(2). If the acceptable range of hardness is (70-c,70+c), for what value of c would 95% of all specimens have acceptable hardness?
Homework Answers
Add Answer to:
5. (10 points) The Rockwell hardness of a metal is determined by impressing a point into...
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface...
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose that the hardness of a particular alloy is normally distributed with a mean of 70 and standard deviation of 3 a) Consider the case where the specimen is only acceptable for hardness between 65 hardness? what range about the mean gives a probability of 95%? The range should be at...
Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 71 and standard deviation 3.
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 71 and standard deviation 3. (a) If a specimen is acceptable only if its hardness is between 70 and 74, what is the probability that a randomly chosen specimen has an acceptable hardness? (Round your answer to four decimal...
The hardness of a metal is determined by forcing a hardened point into the surface and...
The hardness of a metal is determined by forcing a hardened point into the surface and then measuring the depth of penetration of the point. Suppose the hardness of a particular metal is normally distributed with mean 70 and standard deviation 3. If a sample is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen sample has an acceptable hardness? (12 pts) If the acceptable range of hardness is (70-c, 70+c),...
Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 3.
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 3. (a) If a specimen is acceptable only if its hardness is between 68 and 73, what is the probability that a randomly chosen specimen has an acceptable hardness? (Round your answer to four decimal...
5· The hardness of a certain alloy (measured on the Rockwell scale) is a random variable...
5· The hardness of a certain alloy (measured on the Rockwell scale) is a random variable X. Assume that this hardness is normally distributed with true standard deviation ơ-0.75. A sample of 20 alloys was taken and the average hardness was found to be 4.85 Compute a 95% confidence interval for the true hardness of this certain alloy. What sample size is necessary to estimate true average hardness within 0.2 with 90% confidence? b.
Brief Background Penetration hardness is a measure of a materials resistance to indentation. The Rockwell Hardness...
Brief Background Penetration hardness is a measure of a materials resistance to indentation. The Rockwell Hardness test is a standard method for characterizing this property of a material. It uses a small indenter, either a hardened ball or diamond cone (Brale), which is pressed into the sample while measuring depth of penetration. There are several scales to select from as indicated in textbook or the chart found in lab. Each scale refers to the type of indenter used and the...
31. A manufacturing company has 2 different instruments they use to measure the Rockwell hardness of...
31. A manufacturing company has 2 different instruments they use to measure the Rockwell hardness of an object. They believe that one of the instruments may not be working properly, and giving readings that are not completely accurate. To test this, they do the following. They take a large sheet of metal, and cut it into 60 different pieces, and randomly divide the pile in two. They believe it is safe to assume that the hardness of the metal is...
The manufacturer of hardness testing equipment uses stool-ball inderters to penetrate metal that is being tested....
The manufacturer of hardness testing equipment uses stool-ball inderters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two Indentions can be made. Therefore, the manufacturer ses both...
The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested....
The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both...
The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested....
The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both...
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose that the hardness of a particular alloy is normally distributed with a mean of 70 and standard deviation of 3 a) Consider the case where the specimen is only acceptable for hardness between 65 hardness? what range about the mean gives a probability of 95%? The range should be at...
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 71 and standard deviation 3. (a) If a specimen is acceptable only if its hardness is between 70 and 74, what is the probability that a randomly chosen specimen has an acceptable hardness? (Round your answer to four decimal...
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 3. (a) If a specimen is acceptable only if its hardness is between 68 and 73, what is the probability that a randomly chosen specimen has an acceptable hardness? (Round your answer to four decimal...
5· The hardness of a certain alloy (measured on the Rockwell scale) is a random variable X. Assume that this hardness is normally distributed with true standard deviation ơ-0.75. A sample of 20 alloys was taken and the average hardness was found to be 4.85 Compute a 95% confidence interval for the true hardness of this certain alloy. What sample size is necessary to estimate true average hardness within 0.2 with 90% confidence? b.
Brief Background Penetration hardness is a measure of a materials resistance to indentation. The Rockwell Hardness test is a standard method for characterizing this property of a material. It uses a small indenter, either a hardened ball or diamond cone (Brale), which is pressed into the sample while measuring depth of penetration. There are several scales to select from as indicated in textbook or the chart found in lab. Each scale refers to the type of indenter used and the...
31. A manufacturing company has 2 different instruments they use to measure the Rockwell hardness of an object. They believe that one of the instruments may not be working properly, and giving readings that are not completely accurate. To test this, they do the following. They take a large sheet of metal, and cut it into 60 different pieces, and randomly divide the pile in two. They believe it is safe to assume that the hardness of the metal is...
The manufacturer of hardness testing equipment uses stool-ball inderters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two Indentions can be made. Therefore, the manufacturer ses both...
The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both...
The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both...
Most questions answered within 3 hours.
-
Write a program to solve the Josephus problem, with the following
modification:
Sample Input:
./a.out n...
asked 23 minutes ago -
At the start of a CD it is spinning at a rate of 525 rpm
(revolutions...
asked 59 minutes ago -
4. Without doing any calculations, predict whether the observed
∆T would increase, decrease or remain the...
asked 2 hours ago -
Based on the range, which of the following sets of scores has
the greatest variability? 3,...
asked 3 hours ago -
Ripples in a pond travel at a velocity of 3 m/s with one peak
passing a...
asked 3 hours ago -
A man stands on the roof of a building of height 13.0 mm and
throws a...
asked 3 hours ago -
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 4 hours ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 4 hours ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 4 hours ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 4 hours ago -
Michaella, age 23, is a full-time law student and is claimed by
her parents as a...
asked 4 hours ago -
Why are polymers not typically casted into products?
asked 5 hours ago
> 67-70/3=(-1.33) Really ?
928_ARPITA PANIGRAHI Fri, Nov 12, 2021 11:16 AM