A manufacturer is considering purchasing parts from three different suppliers. The parts received from the suppliers are classified as having a minor defect, having a major defect, or being good. Test results from samples of parts received from each of the three suppliers are shown below. Note that any test with these data is no longer a test of proportions for the three supplier populations because the categorical response variable has three outcomes: minor defect, major defect, and good. SupplierPart TestedABCMinor Defect | 151321Major Defect 5115Good130 126 124 Using the data above, conduct ahypothesis test to determine if thedistribution of defects is the same forthe three suppliers. Use the chi-squaretest calculations as presented in thissection with the exception that a tablewith r rows and c columns results in achi-square test statistic with (r– 1)(c-1) degrees of freedom. using a .05 levelofgnificance, what is the p-value andwhat is your conclusion?

We conduct a chi-square test for independence of two categorical variables. Null and alternate…

Using the data above, conduct a hypothesis test to determine if the distribution of defects is the same for the three suppliers. Use the chi-square test calculations as presented in this section with the exception that a table with rrows and c columns results in a chi-square test statistic with (r- 1)(c- 1) degrees of freedom. using a .05 level of significance, what is the p-value and what is your conclusion?

Using the data above, conduct a hypothesis test to determine if the distribution of defects is the same for the three suppliers. Use the chi-square test calculations as presented in this section with the exception that a table with rrows and c columns results in a chi-square test statistic with (r- 1)(c- 1) degrees of freedom. using a .05 level of significance, what is the p-value and what is your conclusion?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

In an early study of the effects of frustration on feelings of hostility, Miller and Bugelski (1948) had a group of boys at a camp rate their attitudes toward two groups (Mexicans and Japanese). The campers then participated in a long, difficult, frustrating testing session that kept them away from their weekly movie. Finally the boys again rated their attitudes towards the minority groups. The scores below represent the number of unfavorable traits attributed to minorities and are similar to those of miller and Bugelski. Participant Before After A 5 6 B 4 4 C 3 5 D 3 4 E 2 4 F 2 3 G 1 3 H 0 2 a. Does the intervening unpleasant task alter attitudes toward the two…
A clinical psychologist is interested in the effect of a new treatment for treating depression. She randomly divides her clients into two groups. One group receives the new treatment and the other group receives the old treatment (control group). At the end of treatment, she assesses the severity of their depression on a scale ranging from 0 to 20 (higher scores indicate greater depression). Was there a significant difference in depression scores between the two treatments? New Treatment Old Treatment 2 7 5 10 3 6 8 8 11 4 4 8 6 10 4 4
In an early study of the effects of frustration on feelings of hostility, Miller and Bugelski (1948) had a group of boys at a camp rate their attitudes toward two groups (Mexicans and Japanese). The campers then participated in a long, difficult, frustrating testing session that kept them away from their weekly movie. Finally the boys again rated their attitudes towards the minority groups. The scores below represent the number of unfavorable traits attributed to minorities and are similar to those of miller and Bugelski. Participant Before After A 5 6 B 4 4 C 3 5 D 3 4 E 2 4 F 2 3 G 1 3 H 0 2 a. Does the intervening unpleasant task alter attitudes toward the two…
In an early study of the effects of frustration on feelings of hostility, Miller and Bugelski (1948) had a group of boys at a camp rate their attitudes toward two groups (Mexicans and Japanese). The campers then participated in a long, difficult, frustrating testing session that kept them away from their weekly movie. Finally the boys again rated their attitudes towards the minority groups. The scores below represent the number of unfavorable traits attributed to minorities and are similar to those of miller and Bugelski. Participant Before After A 5 6 B 4 4 C 3 5 D 3 4 E 2 4 F 2 3 G 1 3 H 0 2 a. Does the intervening unpleasant task alter attitudes toward the two…
Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. Low High Moderate Moderate Moderately Severe Severe 0 2.6 2.7 2.7 1.7 2.5 3.2 3.3 2.2 3 3.2 5.2 0.6 1.8 3.8 1.5 1.9 1.9 3.8 5.9 1.3 1.2 2.4 2.9 From this table, conduct an one-way ANOVA. Calculate the F-ratio and p-value. Be sure to round your answers to three decimal places. Assume all population and ANOVA requirements are met. F-ratio: p-value: What is your final conclusion? Use a significance level of απ 0.02. There is not enough evidence to determine a difference between the treatments. There is…
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
You may need to use the appropriate technology to answer this question. A certain manufacturer is a producer of aluminum components for the avionics and automotive industries. At its plant, an engineer has conducted a quality-control test in which aluminum coils produced in all three shifts were inspected. The study was designed to determine if the population proportion of good parts was the same for all three shifts. Sample data follow. Production Shift Quality First Second Third Good 282 364 172 Defective 18 36 28 (1) Using a 0.05 level of significance, conduct a hypothesis test to determine if the population proportion of good parts is the same for all three shifts. State the null and alternative hypotheses. A) H0: p1 = p2 = p3 Ha: Not all population proportions are equal. B) H0: p1 ≠ p2 ≠ p3 Ha: All population proportions are equal. C) H0: At least two population proportions are equal. Ha: p1 ≠ p2 ≠ p3 D) H0: Not all population proportions are equal. Ha: p1 =…
Students at a major university in Southern California are complaining about a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials' response is to perform a study. The study, reported in the school newspaper, contains the following histogram summarizing the commute distances for a sample of 100 students at the university: Frequency 30- 25- 20+ 15- 10 5 0. 0 23 4 27 18 14 12 8 12 16 Commute distance (in miles) 20 6 24 Based on this histogram, draw the ogive (the cumulative relative frequency polygon) for the data in the study.
Imagine a study comparing two groups: undergrad vs. graduate students in terms of stress level. You find that 100% of the graduate students in your study are men and 100% of your undergraduate students are women. What effect does knowing the gender distribution have on your research conclusions?
Recent research indicates that the effectiveness of antidepressant medication is directly related to the severity of the depression (Khan, Brodhead, Kolts & Brown, 2005). Based on pretreatment depression scores, patients were divided into four groups based on their level of depression. After receiving the antidepressant medication, depression scores were measured again and the amount of improvement was recorded for each patient. The following data are similar to the results of the study. Low Moderate High Moderate Moderately Severe Severe 1.6 2.9 3.8 3.4 0.9 1.3 3 2.8 1.8 3.1 3.3 3.2 2.7 3.7 2.4 4.9 3.8 2.9 3.7 3.2 4.9 1.7 From this table, conduct an one-way ANOVA. Calculate the F-ratio and p-value. Be sure to round your answers to three decimal places. Assume all population and ANOVA requirements are met. F-ratio: p-value: What is your final conclusion? Use a significance level of a = 0.01. O There is sufficient evidence that there exists a significant difference between treatments. O…