8)A team of designers was given the task of reducing the defect rate in the manufacture of acertain printed circuit board. The team decided to reconfigure the cooling system. A total of 971boards were produced the week before the reconfiguration was implemented, and 253 of thesewere defective. A total of 845 boards were produced the week after reconfiguration, and 190 ofthese were defective.(a) Construct a 98% confidence interval for the decrease in the defective rate after thereconfiguration. Round the answers to three decimal places.(b) A quality control engineer claims that the reconfiguration has decreased theproportion of defective parts by more than 0.18. Does the confidence intervalcontradict this claim?9

Answered: Image /qna-images/answer/ade6d45d-875d-48ad-a59a-8789d13d87bf.jpg

Answered: 8)A team of designers was given the…

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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The technology underlying hip replacements has changed as these operations have become more popular (over 250,000 in the United States in 2008). Starting in 2003, highly durable ceramic hips were marketed. Unfortunately, for too many patients the increased durability has been counterbalanced by an increased incidence of squeaking. An article reported that in one study of 146 individuals who received ceramic hips between 2003 and 2005, 11 of the hips developed squeaking. (a) Calculate a lower confidence bound at the 95% confidence level for the true proportion of such hips that develop squeaking. (Round your answer to three decimal places.) 0.0019 (b) Interpret the 95% confidence level used in (a). We are 95% confident that the true proportion of all such artificial hip recipients who experience squeaking is less than the lower bound. We are 95% confident that the true proportion of all such artificial hip recipients who experience squeaking is greater than the lower bound. You may need…
A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05 level of significance? State the null and alternative hypotheses, where π1 is the population proportion of females who said they prefer window tinting as a luxury upgrade and π2 is the population proportion of males who said they prefer window tinting as a luxury…
2) Suppose that we want to estimate the 0.80 quantile of average daily waiting time in the queue for assembly process in a manufacturing system and form 90% confidence interval for it, based on R=20 replications. The average waiting time data collected from a simulation model of the manufacturing system is given in Table 1 below. Replication Avg. Waiting Replication Avg. Waiting Replication Avg. Waiting Replication Avg. Waiting No No No Time No Time 1 16 4,8 6 2,3 11 2,2 7 3,8 3,9 2,2 8 2,2 4,5 9 2,1 4,4 2,3 2,4 10 3,1 4,3 a. Calculate the point estimator and interpret it b. Calculate the confidence interval 2 3 4 5 Time 3,3 12 13 14 15 Time 2,5 3,3 3,2 4 3,4 17 18 19 20
An auditor of the USPS wants to examine its special two day mail handling to determine the proportion of parcels that actually arrive within the promised two day period. A randomly selected sample of 1600 such parcels is found to contain 1250 that were delivered on time. The USPS claims that more than 75% of parcels are delivered on time. Does a 95% confidence interval support this claim?
1. A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 80 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 80 cans, 66 meet the specification for puncture resistance. a. Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. b. Find a 90% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. c. If a 90% confidence interval is computed each day for 300 days, what is the probability that more than 280 of the confidence intervals cover the true proportions? Round the answer to three decimal places.
In an engineering class, students want to determine the difference in the mean strength between two different types of building materials—Type A, which is relatively inexpensive, and Type B, which is slightly more expensive. The students take a random sample of 60 of the Type A building material and a random sample of 27 of the Type B building material. Given the mean strength for each sample, the students construct a 95% confidence interval for the difference in population means. (a) Determine the degrees of freedom for the conservative approach for finding the t critical value. (b) Find the t critical value associated with 95% confidence. (Use a table or SALT. Round your answer to two decimal places.)
Exercise 6.16 presents the results of a poll where 48% of 345 Americans who decide to not go to college do so because they cannot afford it.(a) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval in context. (b) Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. How large of a survey would you recommend?
Dr. Mackintosh believes a new olfactory therapy would be more successful in promoting weight loss among obese patients. His patients are first weighed and then randomly assigned to olfactory therapy, dance therapy, or a control condition. At the end of the three weeks, the amount of weight lost is recorded. The results indicate no significant difference in the amount of weight lost between the three conditions. If true differences existed between the conditions, but they were not detected, what kind of error occurred?
(f) Suppose you and your business associates rent a store, get a bank loan to start up your business, and do a little research on the size of your sales district and the number of competing stores in the district. If x2 = 2.8, x3 = 250, x4 = 3.1, x5 = 7.3, and x6 = 2, use a computer to forecast x1 = annual net sales and find an 80% confidence interval for your forecast (if your software produces prediction intervals). (Use 2 decimal places.) forecast lower limit upper limit (g) Construct a new regression model with x4 as the response variable and x1, x2, x3, x5, and x6 as explanatory variables. (Use 2 decimal places for the intercept, 4 for x1, 5 for x3, and 3 otherwise.) x4 = + x1 + x2 + x3 + x5 + x6 Suppose an All Greens store in Sonoma, California, wants to estimate a range of advertising costs appropriate to its store. If it spends too little on advertising, it will not reach enough customers. However, it does not want to overspend on advertising for this type…
A certain article indicates that in a sample of 1,000 dog owners, 660 said that they take more pictures of their dog than of their significant others or friends, and 470 said that they are more likely to complain to their dog than to a friend. Suppose that it is reasonable to consider this sample as representative of the population of dog owners. (a) Construct a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends. (Use a table or technology. Round your answers to three decimal places.) Interpret the interval. O We are 90% confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls directly in the middle of this interval. There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. O We are 90% confident that the true…
A manufacturer of MP3 players conducts a set of comprehensive tests on the electrical functions of its product. All MP3 players must pass all tests prior to being sold. Of a random sample of 700 MP3 players, 14 failed one or more tests. Find a 99% confidence interval for the proportion of MP3 players from the population that pass all tests.
Hospitals must keep enough antibiotics on hand to treat infectious diseases. Researchers want to determine whether the infectious disease rate is higher in some months than in others. To find out, researchers took a sample of 192 hospital patients in January and found 32 were being treated for an infectious disease. In an independent sample of 403 patients admitted in May, 34 were treated for an infectious disease. Find a 90% confidence interval for the difference in the infectious disease admission rates in January and in May. a. (.035, .153) b. (.033, .133) c. (.066, .179) d. (.013, .198)

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