Question: Stainless steels can be susceptible to stress corrosion cracking under certain conditions. A materials engineer is interested in determining the proportion of steel alloy failures

Stainless steels can be susceptible to stress corrosion cracking under certain conditions. A materials engineer is interested in determining the proportion of steel alloy failures that are due to stress corrosion cracking.

a. In the absence of preliminary data, how large a sample must be taken so as to be sure that a 98% confidence interval will specify the proportion to within ± 0.05?

b. In a sample of 200 failures, 30 of them were caused by stress corrosion cracking. Find a 98% confidence interval for the proportion of failures caused by stress corrosion cracking.

c. Based on the data in part (b), estimate the sample size needed so that the 98% confidence interval will specify the proportion to within ± 0.05.

Step by Step Solution

★★★★★

3.38 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Let n be the required sample size Then n satisfies the equation 005 233p1 pn 4 Since there is n... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Statistics Engineers Scientists Questions!

Question 2: Suppose that bank of NYUSH has to pay 2,000 one year from now and 5,000 three years from now. The yearly yield is 10%. Assume that the bank hires your services in order to immunize the...

A firm's president, vice presidents, department managers, and others use financial data generated by the firm's accounting system to help them make decisions regarding such things as pricing,...

A building contractor has a chance to buy an odd lot of 5000 used bricks at an auction. She is interested in determining the proportion of bricks in the lot that are cracked and therefore unusable...

Under certain conditions, electrical stimulation of a beef carcass will improve the tenderness of the meat. In one study of this effect, beef carcasses were split in half; one side (half) was...

Stainless steels can be susceptible to stress corrosion cracking under certain conditions. A materials engineer is interested in determining the proportion of steel alloy failures that are due to...

0405441 Human Factors and Ergonomics Assignment 1 1. Summarise the events of Piper Alpha disaster based on the two articles found on the BB (in less than 500 words). 2. What were the causes of this...

\ This case was developed solely for the purpose of classroom discussion. Some details of the case have been disguised. This case is not intended to serve as endorsements, sources of academic or...

1. Compute the year-to-year percentage change in "diluted-income from continuing operations" for each of the five years. 1a. Do the earnings appear volatile? 2. Compute the ratio of long term debt to...

PART A 1. Discuss the importance of control account. 2. Discuss TWO (2) types of control account. PART B Question 1 The trial balance of K Home has the following information extracted from the books...

The flat roof on the refrigeration compartment of a food deli very truck is of length L = 5 m and width W = 2 m. It is fabricated from thin sheet metal to which a fiberboard insulating material of...

In constructing the selling and administrative expense budget, the variable selling component will typically include all of the following expenses except: A . Estimated shipping charges during high...

A shipping firm is considering the purchase of a materials handling system for unloading ships at the dock. The firm has reduced its choice to five different systems, all of which are expected to...

A firm wishes to minimize the cost of producing 2,000 units of output. The table below shows all of the combinations of Labor (L) and Capital (K) that will produce 2,000 units. The ratio of the price...

John Delivery services Ltd. Is a company dedicated to the delivery of merchandise purchased online, the company started the year 2019 with a total fleet of 5 cars purchased on 1st of January 2018 for...

1). Cody Jenkins and Lacey Tanner formed a partnership to provide landscaping services. Jenkins and Tanner shared profits and losses equally. After all the tangible assets have been adjusted to...

Ms. Brenda Fisher has been employed for many years as a computer technician in Vancouver, British Columbia. Her employer is a large publicly traded Canadian company. During 2018, Ms. Brenda Fishers...

b. Express the mean and variance of the sample mean Y 40 as a function of the parameters and fi variables. If the sample size could be increased without bound, would Y n converge in probability to...

Refer to Exercise 14. For which null hypothesis will P = 0.05? i. H 0 : = 1.2 ii. H 0 : 1.2 iii. H 0 : 1.2 Refer to Exercise 14. Fill in the blank: A 95% confidence interval for is (1.2, 2.0)....

Refer to Exercise 12 in Section 5.6. Can you conclude that the mean permeability coefficient at 60?C differs from that at 61?C? Refer to Exercise 12 60C: 54 51 61 67 57 69 60 60 63 62 61C: 58 60 66...

A scientist computes a 90% confidence interval to be (4.38, 6.02). Using the same data, she also computes a 95% confidence interval to be (4.22, 6.18), and a 99% confidence interval to be (3.91,...

The following is a list of prices for zero-coupon bonds of various maturities. a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv)...

Buyer entered a purchase agreement and checked the No Loan Contingency box. Buyer was not able to secure a loan and called Escrow seeking to cancel the contract and return his earnest money. Group of...

13. value: 5.00 points McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for $850 per set and have a variable cost of $450 per set. The company has spent $155,000 for a...