Analysis of Chi-Square, Mann-Whitney, Sign, Kruskal-Wallis, Friedman and Spearman Instructions: 1. An MBA program was experiencing problems scheduling its courses. Demand for the program's optional courses and specializations varied yearly. Within a year, students seem to want marketing courses; in other years, accounting or finance are in demand. In desperation, the business school dean turned to 3 statistics professor for help. The statistician professor believes that the problem may be the variability in students' academic background and that the bachelor's degree affects career choice. To get started. he took a random sample of last year's MBA students and recorded the selected undergraduate degree and specialization in the MBA program. The undergraduate degrees were Bachelor of Arts, Bachelor of Engineering, Bachelor of Business Administration, and others. There are three possible careers for MBA students: accounting, finance, and marketing. The results were summarized in a cross-classification table (Xm16-02). - Can the statistician conclude that undergraduate degrees affect the choice of MBA concentration? le16-021 1. Shown the dataset represents the level of effectiveness of two types of drugs that were administered to 30 people. 15 people ingested a new drug, and another 15 people ingested aspirin. The following scale measures the effectiveness of drugs: 5 = extremely effective, 4 = quite effective, 3 = somewhat effective, 2 = slightly effective. 1 = not at all effective. {Xm21- @Download (Xm21-02) 1. - Is there a significant difference between the levels of effectiveness of both drugs? 2. in an investigation, it is desired to determine which of the two cars is perceived as the most comfortable; 25 people traveled (separately) in the back seat of a European vehicle and also in the back seat of an American car. Each person was asked to rate the trip on the following scale: 1 = very uncomfortable, 2 = quite uncomfortable. 3 = neither uncomfortable nor comfortable, 4 = quite comfortable, 5 = very comfortable. Records, for each. the number of days until the first sign of corrosion is observed. le21- @Download [Xm21-03) - Is there a significant difference between people's perceptions of both vehicles? 3. A restaurant manager is interested in knowing how his customers value the quality of the food and the service and cleanliness of the restaurant in all three shifts. 10 customers selected from each shift responded: 4 = excellent. 3 = good. 2 = fair, 1 = poor. (Xm21051Download (Xm21-05) - Is there a signicant difference in the food quality between the restaurant's three work shifts? 4. The personnel supervisor of an accounting firm has been receiving complaints from senior managers about the quality of recent hires. All new accountants are hired through a process whereby four managers interview the candidate and qualify them in various dimensions, including academic credentials. previous work experience. and staff suitability. Then, each manager summarizes the results and produces an evaluation of the candidate under the following possibilities: le21-06100wnload (Xm21-06) A. 1 = The candidate is in the top 5% of applicants. B. 2 = The candidate is in the top 10% of applicants but not in the top 5%. C. 3 = The candidate is in the top 25% of applicants but not in the top 10%. D. 4 = The candidate is in the top 50% of applicants but not in the top 25%. E. 5 = The candidate is in the bottom 50% of applicants. - Is there a significant difference between the evaluations of the four managers? 5. The production manager of a company wants to examine the relationship between the aptitude test score given before hiring production line workers and the performance rating employees receive three months after starting work. The study results would allow the company to decide how much weight these aptitude tests have with other work history information obtained, including references. Aptitude test results range from 0 to 10-0. The performance ratings are as follows: le21-07lDownload (Xm21-07) A. 1 = Employee has performed well below average. B. 2 = The employee has performed somewhat below average. C. 3 = The employee has performed at a medium level. D. 4 = Employee has performed somewhat above average. E. 5 = The employee has performed well above average. - Is there evidence to infer that there is a relationship between attitude and performance? Degree w . -NA- - N W WW - . - W N - A N W - A A W A W W N N - W - MBA Major N - N - W W - W N N W - W - - - - W N N - N N N - N N - - N W - - W W - - - N- - WN- XM/6 - 02 A\fNew Aspirin OF A W A N N N A W - A N W - A XM 21 - 02European American WIN A W N - A W. - W - A - W N N N N W W - NA - UT NO. W W A W CI A N A N W N A W N A A. - UI N WOT NA XM 21-03Aptitude Performance 59 47 58 66 77 57 62 68 UI .W W N A W W N W W - OT W W A N WA NW 65 61 1889 76 71 XM 21- 07