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This is a set of 80 advance statistical questions for which solution provided in excel format along with the questional. Good learning and preparatory material for any Statistics exams. Sample questions are as under:
| In a poll of 10,000 randomly selected college students, it was determined that 5% of them have a 3.5 or above GPA. | |
| The implied population in this research study is | |
| a. All college studentss | |
| b. All college seniorss | |
| c. 5% who have 3.5 or above GPA | |
| d. The 10,000 randomly selected college students | |
| The implied sample in this study is | |
| a. All college seniors | |
| b. All college students | |
| The variable in this description is | |
| a. The classification of the student (senior, junior, etc.) | |
| b. Whether or not you are in college | |
| c. To have or not to have a 3.5 or above GPA | |
| d. How many students were selected for the study | |
| The study would be categorized as | |
| a. Experimental | |
| b. Quasi-experimental | |
| c. Observational | |
| d. None of the above |
| 23. | A student takes an exam in History and an exam in English. The History exam had a class mean score of 74 points and a standard deviation of 10.2, while the English exam had a class mean score of 82 points with a standard deviation of 10.8. If the student scored 88 points on the History exam and 97 points on the English exam, which exam was the student’s score higher relative to the class? (Work leading to your conclusion must be shown for credit . . . guessing does not count.) |
| 25. | Assume you have a group of one hundred ping-pong balls numbered from 1-100. Let us define some events as follows: |
| Event A: A randomly selected ball has an odd number on it | |
| Event B: A randomly selected ball has a multiple of 5 on it | |
| Event C: A randomly selected ball has either a 50 or 51 on it | |
| Answer the following questions related to probability of the above described Events: | |
| P(A) = | (Remember this is asking,”What is the probability that a randomly selected ball has an odd number on it?”) |
| P(B) = | |
| P(A and C) = | |
| P(A or C) = | |
| P(not B) = | |
| P(A given B) = | |
| Describe the complement of Event A. |
| A quality control expert at a large factory estimates that 15% of all the batteries produced at the factory are defective. (The other 85% are not defective.) Six batteries are randomly selected and then each is tested to see if it’s defective. Use this situation to answer the parts below. | |
| (a) | Recognizing that this is a binomial situation, give the meaning S and F in this context. That is, define what you will classify as a “success” and what you will classify as a “failure” when one battery is selected and tested for defectiveness. |
