**Company Chip Defect Case Study**A company manufacturing computer chips finds that 8% of all chips manufactured are defective. Management is concerned that employee inattention is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to offer incentives to employees who have lower defect rates on their shifts. The incentive program is instituted for one month. If successful, the company will continue with the incentive program.**1) Hypothesis Testing**Match the appropriate null and alternative hypotheses in this setting.- $ H_0 $ - (Options: a. P = .08, b. P ≤ .08, c. P > .08, d. P < .08, e. P ≥ .08, f. P ≠ .08)- $ H_1 $ - (Options: a. P = .08, b. P ≤ .08, c. P > .08, d. P < .08, e. P ≥ .08, f. P ≠ .08)**2) Type I and Type II Errors**Match a type I and type II error in context.- **Type I Error:** (Options: a. Thinking the incentive program helped decrease the defect rate - when it actually didn’t help, b. Thinking the incentive program helped decrease the defect rate when it actually did)- **Type II Error:** (Options: c. Thinking the incentive program didn’t raise the defect rate when it actually didn’t, d. Thinking the incentive program didn’t help decrease the defect rate - when it actually did help)**3) Error Analysis**Which error, the Type I or the Type II, do you consider a worse mistake?- [Select an answer]**4) Limiting Errors**How would you limit the probability of making this error (that you stated in Question 3)?- [Select an answer]**5) Increasing Other Error Probabilities**Doing this (your action in Question 4) would increase the probability of making a:- [Select an answer]

As per our guidelines, we are allowed to answer first three sub-parts only. Thanks p0 = 0.08 We…

Answered: A company manufacturing computer chips…

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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10) A market research firm was evaluating the effectiveness of including a gift card in a survey as a method for increasing survey response rate. In a recent survey mailed to 400 young adults aged 18 – 24, 400 surveys included a $10 gift card from MacDonald’s while the other 600 were sent without the gift card. a) State the Hypothesis to show if including a gift card in the survey increased the response rate. b) The Gift Card worksheet in the data below (either Returned or Did not return) of the survey for the 400 young adults aged 18 – 24 who received a $10 gift card and the 600 who did not. Use JMP software to test the hypothesis of part a). c) Using alpha = 0.05, draw a conclusion for the hypothesis test and state the problem in the context of the solution. Answer Answer Incentive Returned Did Not return Total Gift Card 148 252 400 No gift Cart 54 546 600 1000
According to the Centers for Disease Control and Prevention, 10.1% of high school students currently use electronic cigarettes. A high school counselor is concerned the use of e-cigs at her school is higher. Complete parts (a) through (c) below. (a) Determine the null and alternative hypotheses. 0.101 Ho: H₁: р 0.101 (Type integers or decimals. Do not round.) (b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the high school counselor. = > A. There is sufficient evidence to conclude that the proportion of high school students exceeds 0.101 at this counselor's high school. B. There is not sufficient evidence to conclude that the proportion of high school students stayed 0.101 at this counselor's high school. C. There is not sufficient evidence to conclude that the proportion of high school students exceeds 0.101 at this counselor's high school. D. There is sufficient evidence to conclude that the proportion of high school students…
1) A state university wants to increase its retention rate of 4% for graduating students from the previous year. After implementing several new programs during the last two years, the university reevaluated its retention rate using a random sample of 352 students and found the retention rate at 5%. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed. 1)
Among drivers who have had a car crash in the last year, 88 are randomly selected and categorizedby age, with the results listed in the accompanying table. If all ages have the same crash rate, wewould expect (because of the age distribution of licensed drivers) the given categories to have 16%,44%, 27%, and 13% of the subjects, respectively. At the 0.05 significance level, test the claim thatthe distribution of crashes conforms to the distributions of ages. Does any age group appear to havea disproportionate number of crashes? Explain. Age____|___Under 25,_____25 – 44=21,_____45 – 64=12,_____Over 64=19,Drivers | 36, 21, 12, 19,
1. In the state of Pennsylvania 12% of students submit box tops for education to their school. A large school district in westem Pennsylvahia runs a contest to see if they can increase participation. The superintendent takes a random sample of 210 students from the district and finds that 35 have submitted box tops this year. (a) Do these data provide convincing evidence that the contest has increased participation in the box tops for education program? (b) Interpret the P-value from part (a).
You may need to use the appropriate appendix table or technology to answer this question. Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager is interested in comparing the default rate on the loans approved by Carl to the default rate on the loans approved by Norm. In the sample of loans collected, there are 70 loans approved by Carl (21 of which defaulted) and 80 loans approved by Norm (17 of which defaulted). (a) State the hypothesis test that the default rates are the same for the two loan officers. (Let p1 = the population proportion of Carl's loans that default, and let p2 = the population proportion of Norm's loans that default. Enter != for ≠ as needed.) H0: Ha: (b) What is the sample default proportion for Carl? What is the sample default proportion for Norm? (c) Use a 0.05 level of significance. Calculate the test statistic. (Use p1 − p2. Round your answer to two decimal places.) What is the p-value? (Round…
According to the Centers of Disease Control, about 22% of American young people between the ages of 12 and 19 are obese.A student claims that the students in his local schools are in better shape than the national average, so their proportion of obese students is less than 22%. Which are the appropriate null and alternative hypotheses for this study? H0: p = 22%, HA: p < 22% H0: p ≠ 0, HA: p = 0 H0: p = 22%, HA: p > 22% H0: p = 22%, HA: p ≠ 22% Suppose that the result is to Fail to reject H0.Which is the proper conclusion? There is sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students. There is not enough information to answer this question. There is not sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students.
16) Tartar is a combination of plaque and minerals from saliva that harden on the surface of teeth. A dentist plans to conduct a study to investigate the following claim made by a toothpaste manufacturer. Toothpaste L is less effective at preventing tartar buildup on teeth than Toothpaste M. The dentist will randomly assign 200 volunteers to use one of two toothpastes, with 100 assigned to use Toothpaste L each day and the remaining 100 assigned to use Toothpaste M each day. Before the study begins, each person will receive a teeth cleaning to remove any tartar buildup. After one month, the dentist will measure the tartar buildup of each person and the number of people who have tartar buildup will be recorded for each toothpaste. The following segmented bar graph shows the results of the study. Toothpaste L 85 15 Tartar buildup O No tartar buildup Toothpaste M 68 32 0.2 0.4 0.6 0.8 1.0 Relative Frequency a) For the 200 volunteers in the study, is there support for the manufacturer's…
. It is estimated that about 5% of the professors at Metro State University use illegaldrugs. Suppose random drug testing is instituted by state law. The drug test used hascertain error rates: 6% of the drug users receive a (false) negative test result, and 4% ofthe non-drug users receive a (false) positive test result. If they test me next week and thetest result comes back positive, how likely is it that I actually do use illegal drugs?
2. A manufacturer of men's underwear claims that 85 percent of the products are of the "best" quality, 10 percent are "seconds", and only 5 percent are defective. To test this claim, 500 garments selected at random are inspected; the inspection results in the respective frequencies of 440, 45 and 15. (a) Write down your null hypothesis and alternative hypothesis to test the manufacturer's claim. Let 1 = best quality, 2 = seconds, and 3 = defective. (b) Determine the critical region for this test (where you would reject the null hypothesis) for a = 0.05. (c) Perform a test to determine if the manufacturer's claim was valid or not. What conclusion do you reach (does the claim appear valid or not)?
Research has shown that people are more likely to show dishonest and self-interested behaviors in darkness than in well-lit environment (Zhong, Bohns, & Gino, 2010). In one experiment, participants were given a set of 20 puzzles and were paid $0.50 for each one solved in a 5-minute period. However, the participants reported their own performance and there was no obvious method for checking their honesty. Thus, the task provided a clear opportunity to cheat and receive undeserved money. One group of participants was tested in a well-lit room and a second group was tested in a room with dimmed lighting . The reported number of solved puzzles was recorded for each individual. The following data represent results similar to those obtained in the study. Well-Lit Room Dimly-Lit Room 7…

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