**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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A TA in statistics thinks that the format of the conferences and the timing of the assignments may affect students' assignment marks (out of 10). He decided to design three conferences with a different format: (1) with lecturing, (2) with demonstrating problems, and (3) with involving students in active problem-solving. Twelve students attended one of the conferences (four in each format) and asked to submit their assignments at week 3. Another twelve students attended one of the conferences but asked to submit their assignments at week 5. The data are tabled below: Assignment Week 3 Week 5 Lecture 6,7,5,7 5,5,4,5 Format Demo problems 7,8,8,9 6,7,7,6 Active problems 9,10,10,10 8,9,9,10 Note: ΣΣΣx=1385 Perform the ANOVA test and table the results, stating all critical values. State and explain what should be the follow-up analysis after the overall F-test if any (NO calculation but just explain).
if Amy Cuddy and her research team originally established a sample size of n=200 (100 in each group) and then discovered that 86% of the high-power group (86 of 100) took a gambling risk while 60% of the low-power group (60 of 100) took the risk, then the p-value would have been much lower than that This p-value would have been less sensitive and would have provided stronger evidence for the researcher's hypothesis. State the p-value, rounding to 5 decimal places.
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
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
a) A manufacturer of apple phone charges claims that only 4% of his production is defective. In a random sample of 120 items, the defect rate is 4.99%. At the 1% level of significance, test the manager's claim.
Answer part c.) and d) PLEASE PROVIDE TYPED ANSWERS TYPED ANSWERS.
Research has shown that people are more likely to show dishonest and self- interested behaviors in darkness than in a 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 one performance and there was no obvious method for checking their honesty. Thus, the task provided a clear opportunity to cheat and receive understand money. One group of participants were tested in a room with dimmed lighting and a second group was tested in a well-lit room. The reporter 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 9 8 11 10 13 6 10 8 11 5 9 7 15 12 14 5 10 a)Is there a significant difference in reported performance between the two conditions? Use a…
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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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