A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection ismade in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 24).(a) How many selections result in all 6 workers coming from the day shift?210selectionsWhat is the probability that all 6 selected workers will be from the day shift? (Round your answer to four decimal places.).00157(b) What is the probability that all 6 selected workers will be from the same shift? (Round your answer to four decimal places.).0015(c) What is the probability that at least two different shifts will be represented among the selected workers? (Round your answer to four decimal places.)(d) What is the probability that at least one of the shifts will be unrepresented in the sample of workers? (Round your answer to four decimal places.)

According to the provided information, there are 10 workers on the day shift, 8 workers on swing…

Answered: A production facility employs 10…

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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With a proportion of employees considered satisfactory = 0.10, a test validity of 0.80, and a selection ratio of 0.70, what is the proportion of people that will be considered satisfatory? If 50 people are hired, how many of these people will probably be retained?
Ex 1: A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). a) How many selections result in all 6 workers coming from the day shift? b) What is the probability that all 6 selected workers will be from the day shift? c) What is the probability that all 6 selected workers will be from the same shift?
5. Suppose that 68% of all adults think that airplanes would be safer places if airline passengers were banned from carrying on board any luggage, including purses, computers, and briefcases. An opinion poll plans to ask an SRS of 1023 adults about airplane safety. The proportion of the sample who think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases, will vary if we take many samples from this same population. The sampling distribution of the sample proportion is approximately Normal with mean 0.68 and standard deviation about 0.015. Sketch this Normal curve and use it to answer the following question. Round to nearest tenth percent. What is the probability of getting a sample in which more than 70% think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases?
2. A political scientist developed a test designed to measure the degree of awareness of current events. She wants to estimate the average score that would be achieved on this test by all students in a certain high school. The administration at the school will not allow the experimenter to randomly select students out of classes in session, but it will allow her to interrupt a small number of classes for the purpose of giving the test to every member of the class. Thus, the experimenter selects 25 classes at random from the 108 classes in session at a particular hour. The test is given to each member of the sampled classes, with results as shown in the accompanying table. Number of students, mi Total score, yi Class 1 31 1590 2 29 1510 3 25 1490 4 35 1610 5 15 800 6 31 1720
A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 24). (a) How many selections result in all 6 workers coming from the day shift? selectionsWhat is the probability that all 6 selected workers will be from the day shift? (Round your answer to four decimal places.)(b) What is the probability that all 6 selected workers will be from the same shift? (Round your answer to four decimal places.)(c) What is the probability that at least two different shifts will be represented among the selected workers? (Round your answer to four decimal places.)(d) What is the probability that at least one of the shifts will be unrepresented in the sample of…
The school district sets up two locations to help students with technical difficulties over the summer. They believe the technicians they have assigned to location 2 are being lazy and not helping students as much as they should be so they take a random sample of 15 students from each of the two locations and ask if their technical issue had been resolved (over 200 students had asked for assistance at each location). Twelve of the 15 students from location 1 reported their technical issue had been resolved and 8 of the 15 students from location 2 reported their technical issue had been resolved. Is this convincing evidence that the technicians from location 2 are being lazy and not helping students as much as those from location 1?
Two ad agencies want to understand issues that are important to students. Agency A will interview 50 students whose names are randomly chosen from school enrollment data. Agency B will interview 50 randomly selected people from those who respond to a social media posting. Which method will produce a fair sample of the student population and why? Agency A, because students are convenient and easy to interview Agency A, because names randomly selected from school data will be student names Agency B, because people who respond to social media postings have strong opinions Agency B, because people who respond to social media postings are usually students
Management of a company that produces a medical device has carefully selected and screened 220 finished items (packaged, ready to ship). The team agrees that the sample contains 33 defective items, all for various visual defects on the package such as crooked labels, poor seal, errant marks on package, etc. The items are then given to an inspector for classification into “defective” and “non-defective” piles. The inspector ends up rejecting 9 non-defective items, and accepting 11 defective items. The inspector classifies the remaining items in the sample correctly. Find the following (answer as a probability, NOT a percentage. Use 3 decimal places. Notice that alpha = 9/187, Beta = 11/33, and p = 33/220. P(inspector accepts the item and its actually non-defective) =
Management of a company that produces a medical device has carefully selected and screened 220 finished items (packaged, ready to ship). The team agrees that the sample contains 33 defective items, all for various visual defects on the package such as crooked labels, poor seal, errant marks on package, etc. The items are then given to an inspector for classification into “defective” and “non-defective” piles. The inspector ends up rejecting 9 non-defective items, and accepting 11 defective items. The inspector classifies the remaining items in the sample correctly. Find the following (answer as a probability, NOT a percentage. Use 3 decimal places: What is the proportion of accepted items that are actually defective (escapes)?

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