1. Consider the following set of sample data. 16 | 23 | 17 | 24 | 9 | 11 | 13 | 15 | 15 | 23 | 18 | 16 | 17 |
a. Determined the coefficient of variance for the set.(7%) 參考答案
b. Use Tchebysheff's Theorem to determined the range of values that includes at least 75% of the data.(8%)參考答案 2. Company A makes the same type of bicycle from three production facilities. if one distributor has found a bicycle that has not been properly assembled. The manager of company A want to know which facilities is most likely to be responsible for this mistake. Provide the manager this information based on the following data (10%). 參考答案 facilities | Contribution to total | Proportion of defective | 1 | 0.40 | 0.05 | 2 | 0.35 | 0.10 | 3 | 0.25 | 0.07 |
3. A management behavior analyst has been studying the relationship male/female supervisory structures in the workplace and the level of employee' job satisfaction. The result of a resent survey are shown here in the table. Is there sufficient evidence to infer that the level of job satisfaction depends on the boss/employee gender relationship? (10%) ( α = 0.05) 參考答案
| Level of satisfaction | Boss/employee | | Female/Male | Female/Female | Male/Male | Male/Female | | Satisfied | 21 | 25 | 54 | 71 | | Neutral | 39 | 49 | 50 | 38 | Dissatisfied | 31 | 48 | 10 | 11 |
4. The following data were generated from 2X2 factorial experiment with 3 replicates. | | Factor B | | Factor A | 1 | 2 | | 1 | 6 | 12 | | | 9 | 10 | | | 7 | 11 | | 2 | 9 | 15 | | | 10 | 14 | | | 5 | 10 |
a. Test at the 5% significance level to determine whether Factor A and B interacted.(10%)
b. Test at the 5% significance level to determine whether difference exist between the levels factor A.
(10%)
 參考答案 5. Please define marginal probability and union probability (6%). Refer to the table in question 2 again:
facilities | Contribution to total | Proportion of defective | 1 | 0.40 | 0.05 | 2 | 0.35 | 0.10 | 3 | 0.25 | 0.07 |
Give an example each for the two probabilities defined above (4%). 參考答案 6. Referring the question 3, how many elements are in the sample space of the table(5%).參考答案 7. Please define stratified random sampling (10%).參考答案 | 
