Calculus and Above

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Answer any 3 of these...

Answer any 3 of these question

What is the **population**, the **sample**, the **statistic**, and the **parameter **in the studies described below? What **type of data** was gathered or will be gathered in the study?

1. You work for the research and development division of a major pharmaceutical company. The company has developed a new diet drug, and your boss has asked you to test the drug’s effectiveness. You design a study in which a group of 642 overweight people will be randomly assigned to two equal sub-groups: one group of 321 will be given the new diet drug and the other group of 321 will be given a placebo (a pill that contains no medication). For the group given the diet drug, the average weight loss over a three-week period was 12 lbs. For the group given the placebo, the average weight loss over the same time period was 5 lbs.

2. You are the head actuary in the Automobile Insurance division of a large insurance company. The company’s president wants a report from you to investigate if drivers who talk on cellular phones in their car have more accidents than those who never talk on cell phones while driving. You survey 3245 randomly chosen drivers and find that 560 of those drivers use a cell phone while they drive while the other 2685 drivers do not. 125 of the drivers with cell phones had accidents in the last three years while 550 of the drivers without phones had accidents in the last three years.

3. You are a chief auditor at an accounting firm. A Fortune 500 company reports accounts receivables (money owed to the company for services rendered) of $7,500,000. There are 3,450 different entities that owe money to the company. Some of these entities will not be able to pay the debts they have incurred. Your job is to estimate the percentage of the accounts receivable that should be written off as “doubtful accounts.” You conduct a thorough check on 225 of the entities and determine that approximately 28 will be unable to meet their obligation to your client.

4. In 1954, 400,000 children participated in a study of the effectiveness of the Salk vaccine for polio. Half of the children received the vaccine while the other half were given a harmless salt solution. Only 50 of the children who received the vaccine contracted polio while 150 of the children who were given the salt solution contracted the disease.

5. A survey of young doctors at a California medical school has found that of the women and of the men believed they had been sexually harassed during training. The study was based on a written survey of 133 interns and residents in internal medicine at the University of California at San Francisco. Responses were received from 82 interns and residents- 49 men and 33 women.

6. A market research company studied the daily activities of 3,000 people who were chosen from telephone and voter registration lists to reflect the national population, including people aged from 18 to 90 in all parts of the country and economic classes. The study found that Americans spend an average of 7 hours and 25 minutes sleeping, an average of 4 hours and 44 minutes on work related activity, 4 hours and 23 minutes for entertainment, and food related activities accounted for 2 hours and 7 minutes per day

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