Problems — Partial
For the next four problems just do the following:
(Answer any three of the four questions. If you answer a fourth question and identify that as an extra-credit question, it will be graded for four extra credit points)
A. Identify the independent variable(s) – if any (and define them precisely and indicate they are qualitative or quantitative)
B. Identify the dependent variable – if any (and define them precisely and indicate they are qualitative or quantitative)
C. Identify the type of analysis that is appropriate (Chi-Square test of independence, ANOVA, Regression, or Correlation)
D. Justify why the analysis you identified in part C is correct.
(3 + 3 + 3 + 3 points)
- Your firm is having quality problem with the production of plastic automotive parts: there are too many defectives. One of your engineers thinks that it’s because the temperature of the process is not controlled carefully enough. Another engineer is sure that it’s because the assembly line is being shut down too often for unrelated reasons. You have decided to analyze the problem and have come up with figures for the percent defective each day recently, the standard deviation of temperature measured hourly each day (as a measure of temperature control), and the number of assembly line stoppages each day. You are interested in finding out which engineer is right.
- Some critics of big business argue that CEOs are overpaid and that their compensation is not related the performance of their company. To test this theory, data on executive’s total pay and company’s performance was collected from a randomly selected set of fifty companies.
- Many companies use well-known celebrities in their ads, while other companies create their own spokespersons (such as Maytag repairman). A marketing researcher is interested in investigating the relationship between gender of the spokesperson and brand awareness. Three hundred television viewers were asked to identify the products advertised by celebrity spokespersons.
- To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, Jacob’s Chemical Company obtained the data on the mixing times from ten batches for each of the machines. What can we conclude?
Problems — Full
For the next two problems just do the following:
A. Set up the appropriate hypotheses (in plain English)
B. Draw appropriate statistical conclusions (based on the printout provided). In your conclusions, make sure to indicate what values you specifically used from the printout (i.e., highlight/mark/circle the relevant values you need from the printout and then use them in your discussion/conclusions).
C. Present proper conclusions for the business problem.
- As a consulting industrial engineer you are hired to perform a “human factors experiment” at Burstinter & Lobel, a large law firm. A pool of 30 typists of similar ability and experience is selected to participate. Groups of 10 typists each are randomly assigned to one of three working conditions—very noisy atmosphere (90 Db constant), somewhat noisy atmosphere (65 Db constant), and pleasant atmosphere (40 Db constant). The subjects are then asked to type a technical manuscript. The following data represent the number of mistakes on the manuscript make by the typists under the various working conditions. Groups
(90 Db) Somewhat Noisy
(65 Db) Pleasant
5 At the .01 level of significance, is there evidence of a difference in the average number of errors between the three groups?
(3 + 8 + 6 points)
Please refer to Printout #1 for this problem
- A list of best selling cars for 1987 is shown in the table. The 1988 suggested retail price and the total number sold are given in the table below..
MODEL 1988 Price
(in thousands) Number sold
Pontiac Grand Am
Chev. Caprice 5.4
At = .05, is there evidence of relationship between the two variables?
(3 + 8 + 6 points)
Please refer to Printout #2 for this problem
- What is Post-ANOVA test? Why is it necessary? When? Explain with an example.
(4 + 2 + 2 points)
- The heights of a sample of husbands and wives in the Heightlands are given below. Write down an equation (i.e., the regression equation) predicting the height of a husband (Y) from the height of his wife (X). What is the correlation coefficient for this equation? (2 + 2 points) Height of husband Height of wife
One-way ANOVA: Mistakes versus NoiseLevel
Null hypothesis All means are equal
Alternative hypothesis Not all means are equal
Significance level α = 0.05
Equal variances were assumed for the analysis.
Factor Levels Values
NoiseLevel 3 1, 2, 3
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
NoiseLevel 2 546.9 273.433 42.19 0.000
Error 27 175.0 6.481
Total 29 721.9
S R-sq R-sq(adj) R-sq(pred)
2.54588 75.76% 73.96% 70.07%
NoiseLevel N Mean StDev 95% CI
1 10 13.900 2.923 (12.248, 15.552)
2 10 6.500 2.550 (4.848, 8.152)
3 10 3.800 2.098 (2.148, 5.452)
Pooled StDev = 2.54588
Regression Analysis: Number versus Price
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 3311 3310.9 7.77 0.032
Price 1 3311 3310.9 7.77 0.032
Error 6 2556 426.0
Total 7 5867
S R-sq R-sq(adj) R-sq(pred)
20.6396 56.43% 49.17% 23.44%
Term Coef SE Coef T-Value P-Value VIF
Constant 302.9 30.9 9.80 0.000
Price -8.78 3.15 -2.79 0.032 1.00
Number = 302.9 – 8.78 Price
Fits and Diagnostics for Unusual Observations
Obs Number Fit Resid Std
2 245.0 202.8 42.2 2.30 R
R Large residual
Text see of this exposition: This page of the exposition has 2111 words. Download the full form above. The United States is home to the absolute generally infamous and productive chronic executioners ever. Names, for example, Ted Bundy, Gary Ridgeway, and the Zodiac Killer have become commonly recognized names because of the terrible idea of their violations. One of the most productive chronic executioners in American history is John Wayne Gacy. Nicknamed the Killer Clown on account of his calling, Gacy assaulted and killed in any event 33 adolescent young men and youngsters somewhere in the range of 1972 and 1978, which is one of the most elevated realized casualty tallies. Gacy's story has become so notable that his violations have been highlighted in mainstream society and TV shows, for example, American Horror Story: Hotel and Criminal Minds. Measurable science has, and proceeds to, assume a significant part in the addressing of the case and recognizable proof of the people in question. John Wayne Gacy's set of experiences of sexual and psychological mistreatment was instrumental in provoking examiner's curiosity of him as a suspect. John Wayne Gacy was brought into the world on March 17, 1942, in Chicago, Illinois. Being the lone child out of three kids, Gacy had a stressed relationship with his dad, who drank vigorously and was regularly damaging towards the whole family (Sullivan and Maiken 48). In 1949, a temporary worker, who was a family companion, would stroke Gacy during rides in his truck; nonetheless, Gacy never uncovered these experiences to his folks because of a paranoid fear of requital from his dad (Foreman 54). His dad's mental maltreatment proceeded into his young grown-up years, and Gacy moved to Las Vegas where he worked quickly in the rescue vehicle administration prior to turning into a funeral home specialist (Sullivan and Maiken 50). As a funeral home specialist, Gacy was vigorously associated with the treating cycle and conceded that one night, he moved into the final resting place of an expired high school kid and stroked the body (Cahill and Ewing 46). Stunned at himself, Gacy re-visitations of Chicago to live with his family and graduates from Northwestern Business College in 1963, and acknowledges an administration student position with Nunn-Bush Shoe Company. In 1964, Gacy is moved to Springfield and meets his future spouse, Marlynn Myers. In Springfield, Gacy has his subsequent gay experience when a collaborator shakily performed oral sex on him (London 11:7). Gacy moves to Waterloo, Iowa, and starts a family with Myers. Notwithstanding, after consistently undermining his better half with whores, Gacy submits his originally known rape in 1967 upon Donald Vorhees. In the coming months, Gacy explicitly manhandles a few different adolescents and is captured and accused of oral homosexuality (Sullivan and Maiken 60). On December 3, 1968, Gacy is indicted and condemned to ten years at the Anamosa State Penitentiary. Gacy turns into a model prisoner at Anamosa and is allowed parole in June of 1970, an only a short time after his condemning. He had to migrate to Chicago and live with his mom and notice a 10:00PM time limit. Not exactly a year later, Gacy is accused again of explicitly attacking an adolescent kid yet the young didn't show up in court, so the charges were dropped. Gacy was known by numerous individuals in his locale to be an energetic volunteer and being dynamic in network governmental issues. His function as "Pogo the Clown" the jokester started in 1975 when Gacy joined a nearby "Carefree Joker" comedian club that routinely performed at raising support occasions. On January 3, 1972, Gacy submits his first homicide of Timothy McCoy, a 16-year old kid making a trip from Michigan to Omaha. Asserting that McCoy went into his room using a kitchen blade, Gacy gets into an actual fight with McCoy prior to wounding him over and over in the chest. Subsequent to understanding that McCoy had absentmindedly strolled into the live with the blade while attempting to plan breakfast, Gacy covers the body in his unfinished plumbing space. Gacy conceded in the meetings following his capture that slaughtering McCoy gave him a "mind-desensitizing climax", expressing that this homicide was the point at which he "understood demise was a definitive rush" (Cahill and Ewing 349). Right around 2 years after the fact, Gacy submits his second homicide of a unidentified young person. Gacy choked the kid prior to stuffing the body in his wardrobe prior to covering him (Cahill 349). In 1975, Gacy's business was developing rapidly and his hunger for youngsters developed with it. Gacy frequently tricked youngsters under his work to his home, persuading them to place themselves in binds, and assaulting and tormenting them prior to choking them (Cahill 169-170). A large portion of Gacy's killings occurred somewhere in the range of 1976 and 1978, the first of this time occurring in April 1976. Huge numbers of the young people that were killed during this time were covered in an unfinished plumbing space under Gacy's home. For the rest of the killings, Gacy confessed to losing five bodies the I-55 extension into the Des Plaines River; be that as it may, just four of the bodies were ever recuperated (Linedecker 152). In December 1978, Gacy meets Robert Jerome Piest, a 15-year old kid working at a drug store and offers him an employment at Gacy's firm. Piest educates his mom regarding this and neglects to restore that night. The Piest family documents a missing individual's report and the drug specialist illuminates police that Gacy would doubtlessly be the man that Jerome addressed about a work. When addressed by the police, Gacy denied any association in Piest's vanishing. In any case, the police were not persuaded, and Gacy's set of experiences of sexual maltreatment and battery provoked the police to look through his home. Among the things found at Gacy's home were a 1975 secondary school class ring with the initials J.A.S., various driver's licenses, binds, apparel that was excessively little for Gacy, and a receipt for the drug store that Piest had worked at. Throughout the following not many days, examiners got numerous calls and tips about Gacy's rapes and the strange vanishings of Gacy's representatives. The class ring was at last followed back to John A. Szyc, one of Gacy's casualties in 1977. Futhermore, after looking at Gacy's vehicle, examiners found a little bunch of filaments looking like human hair, which were shipped off the labs for additional examination. That very night, search canines were utilized to distinguish any hint of Piest in Gacy's vehicle, and one of the canines showed that Piest had, indeed, been available in the vehicle. On December 20, 1977, under the pressure of steady police reconnaissance and examination, Gacy admits to more than 30 killings and educates his legal counselor and companion where the bodies were covered, both in the unfinished plumbing space and the waterway. 26 casualties were found in the unfinished plumbing space and 4 in the stream. Gacy is captured, indicted for 33 homicides, and condemned to death by deadly infusion. He endeavored a madness supplication however was denied, and was executed on May 10, 1994. There were a few legal markers that agents used to attach Gacy to the killings. A portion of these include fiber investigation, dental and radiology records, utilizing the disintegration cycle of the human body, and facial reproduction in distinguishing the people in question. Examiners discovered filaments that looked like human hair in both Gacy's vehicle and close to the unfinished plumbing space where the bodies were covered. Notwithstanding these hair tests, specialists likewise discovered filaments that contained hints of Gacy's blood and semen in a similar region. Blood having a place with the casualties was found on a portion of the strands, which would later straightforwardly attach Gacy to the wrongdoings. The filaments in Gacy's vehicle were dissected by criminological researchers and coordinated Piest's hair tests. Moreover, the hunt canines that verified that Piest had been in Gacy's vehicle showed this by a "passing response", which told specialists that Piest's dead body had been within Gacy's vehicle. Out of Gacy's 33 known casualties, just 25 were ever decisively distinguished. A considerable lot of Gacy's casualties had comparative actual depictions and were hence difficult to recognize by simply asking people in general. To distinguish the people in question, examiners went to Betty Pat Gatliff, a pioneer in legal science and facial reproduction. Facial remaking is the way toward reproducing the facial highlights of a person by utilizing their remaining parts. Certain facial highlights, for example, facial structures, nasal structure, and in general face shape can be helpful in recognizing a casualty even long in the afterlife. By utilizing these highlights, and with the assistance of program, scientific examiners can make a picture of an individual's face, which is instrumental in recognizing casualties after their bodies have rotted. Facial remaking should be possible in a few measurements. Two-dimensional facial recreations is utilized with skull radiographs and depend on pre-demise photos and data. Nonetheless, this isn't really ideal on the grounds that cranial highlights are not generally obvious or at the correct scale (Downing). To get a sensible and more exact portrayal of the casualty's face, a craftsman and a scientific anthropologist are generally fundamental (Downing). Three-dimensional facial recreation is finished by figures or high goal, three-dimensional pictures. PC programs can make facial reproductions by controlling examined photos of the remaining parts and use approximations to reproduce facial highlights. These will in general deliver results that don't look fake (Reichs and Craig 491). Now and then, agents will utilize a strategy called superimposition as a procedure for facial remaking. Lamentably, it's anything but a usually utilized technique, as it expects examiners to have some information about the personality of the remaining parts they are managing. By superimposing a photo of a person over the skeletal remaining parts, examiners can check whether the facial highlights line up with the anatomical highlights, permitting them to distinguish a casualty. On account of John Wayne Gacy's casualties, specialists had the option to utilize facial reproduction to distinguish nine of the bodies found in the unfinished plumbing space. The accompanying realistic shows the facial recon>GET ANSWER