Question: A company has installed 3288 flow meters throughout an extensive sewer system. Unknown to the company, 592 of these meters are operating outside acceptable tolerance

A company has installed 3288 flow meters throughout an extensive sewer system. Unknown to the company, 592 of these meters are operating outside acceptable tolerance limits, whereas the other 2696 meters are operating satisfactorily. The company decides to estimate the unknown proportion p of the meters that are operating outside acceptable tolerance limits based on the inspection of a random sample of 20 meters.
(a) What is the probability that the company's estimate of p will be within 0.1 of the correct value?
(b) Suppose that 2012 of the meters are easily accessible, whereas the other 1276 meters are not easily accessible. In addition, suppose that only 184 of the easily accessible meters are operating outside acceptable tolerance limits. If the company's sample of 20 meters is biased due to the fact that the meters were randomly chosen from the subset of easily accessible meters, what is the probability that the company's estimate of p will be within 0.1 of the correct value?

Step by Step Solution

★★★★★

3.41 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a p 5923288 018 Pp 01 p 01 P008 X20 028 P16 X 56 where X B20 018 This probability is PX 2 ... 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

Document Format (1 attachment)

943-M-S-P (9290).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

The Britts & Straggon company manufactures small engines at three different plants. From the plants, the engines are transported to two different warehouse facilities before being distributed to...

A company has installed a generator to back up the power in case there is a power failure. The probability that there will be a power failure during a snowstorm is .30. The probability that the...

A company has installed five intrusion-detection devices in an office building. The devices are very sensitive and, on any given night, each one has a 0.1 probability of mistakenly sounding an alarm...

The Darby Company manufactures and distributes meters used to measure electric power consumption. The company started with a small production plant in El Paso and gradually built a customer base...

hi. I'm stuck with a report whose Chic Paints Ltd. and I am finding difficulty to answer some questions such as the organisations accounting system requirements including hardware and software...

Chapter 3 . Supply Chain Drivers and Metrics 73 Bibliography Davis, Thomas S., and Robert A. Novack. "Why Metrics Matter Supply Chain Management Review July/August 2012: 10-17 Doheny. Mike....

CASE STUDY Seven-Eleven Japan Co. Established by Ito Yokado in 1973, Seven-Eleven Japan As a result, detailed financial results for Seven-Eleven set up its first store in Koto-ku, Tokyo, in May 1974....

O Avail- het.mckinsey.com/html/ knowledge/article/20101213_apparel_supply chain asp Dyckman, Thomas R. Robert P. Magee, and Glenn M. Pfeiffer. Financial Accounting. Westmont, IL: Cambridge Business...

Avail- het.mckinsey.com/html/ knowledge/article/20101213_apparel_supply chain asp Dyckman, Thomas R. Robert P. Magee, and Glenn M. Pfeiffer. Financial Accounting. Westmont, IL: Cambridge Business in...

Please answer each question separately. CASE STUDY Seven-Eleven Japan Co. Established by Ito Yokado in 1973, Seven-Eleven Japan request, Southland agreed in 1973 to a licensing agree- set up its...

supply chain mangment case study answer the qustions Industrial Engineering and Engineering Management Department 0405433: Supply Chain Management Spring 2021/2022 Instructor: Dr. Ridvan Aydin Date:...

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220. What is the probability that the actual expenses...

The phase line in Exercise 12. From the given phase-line diagram, sketch a possible graph of the rate of change of x as a function of x. start here x=2 x=4 x=8

a Write a logic expression for the truth table below. b Draw a logic circuit from the above truth table. X Y Z 0 0 1 0 1 0 1 0 1 1 1 0

7. Would a person with ADHD be more likely to take bird watching up or duck hunting?

In 1987, a company called Burroughs-Wellcome introduced its anti-AIDS drug AZT and an introductory price of $12,000 annually. Suppose the marginal cost of producing an annual dosage of the drug was...

Light Caf prepares in-flight meals for airlines in its kitchen located next to a local airport. The companys planning budget for July appears below: Calculate the companys activity variances for...

Why consumer education is important?

Use the data in EZANDERS.RAW for this exercise. The data are on monthly unemployment claims in Anderson Township in Indiana, from January 1980 through November 1988. In 1984, an enterprise zone (EZ)...

Why isnt the natural rate of unemployment equal to zero?

Compute the mean and variance of the following discrete probability distribution. x P(x) 2 .......5 8 .......3 10 .......2

Compute the mean and variance of the following probability distribution. x P(x) 5 ....... .1 10 ....... .3 15 ....... .2 20 ....... .4

Which of these variables are discrete and which are continuous random variables? a. The number of new accounts established by a salesperson in a year. b. The time between customer arrivals to a bank...

Capitalized cost is defined as the present workh of costs over an infinite analysis period. It can be shown that the factor (P/A,i%, N = infinity) is equal to (1/i), with the interest rate i in...

questions 17 & 18 QUESTION 17 What is the expected return on asset A if it has a beta of 0.3, the expected market return is 14%, and the risk-free rate is 5%7 A. 6.0% B.9.2% C.7.2% D.7.7% QUESTION 18...

Barker Corp. has a beta of 1.10, the real risk-free rate is 2.00%, investors expect a 3.00% future inflation rate, and the market risk premium is 4.70%. What is Barker's required rate of return? a....