Answered: products produced with this process.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text:57. Production Quality Control. A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of 30 fin ished products and computes the sample mean product weights x. If test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds, what are the mean and the standard deviation for the population of products produced with this process? 58. Australians and Smoking. Reuters reports that 15 percent of Australians smoke. By introducing tough laws banning brand labels on cigarette packages, Australia hopes to ultimately reduce the percentage of people smoking to 10%. Answer the following questions based on a sample of 240 Australians. a. Show the sampling distribution of p, the proportion of Australians who are smokers. nom b. What is the probability the sample proportion will be within ±.04 of the population proportion? c. What is the probability the sample proportion will be within ±.02 of the population proportion? 59. Marketing Research Telephone Surveys. A market research firm conducts tele- phone surveys with a 40% historical response rate. What is the probability that in a new sample of 400 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150/400 = .375? 60. Internet Advertising. Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately, click fraud-the practice of someone licking on an ad solely for the purpose of driving up advertising revenue-has Duringssweek reports that 40 percent of advertisers claim they have ample of 380 advertisers will

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