In how many different ways can a ski club consisting of 20 people select officer

Question

In how many different ways can a ski club consisting of 20 people select officers? The positions available are president, vice president treasurer, and secretary. No person can hold more than one position and each office is filled in the order they are selected. a. 80 b. 160,000 c 4, 845 d. 116, 280 Suppose you want to determine if yawing while asking people a question tends to make them yawn when answering your question. Also suppose the results of the experiment show that 17 out of 30 subjects yawned when you yawned while asking the question and 9 out of 30 subjects yawned when you didn't yawn while asking the question. You want to conduct a simulation-based test of significance to see if these results are significant. Which of the following describes the main assumption behind the simulation you conduct? a. Yawning while asking the question has an effect on whether or not the person yawns while answering the question. b. Yawning while asking the question has no effect on whether or not the person yawns while answering the question. c. Each person has a 50% chance of yawning. d. The probability someone will yawn after you yawn while asking the question is more than 50%. Suppose we have a collection of the heights of all students at your college. Each of the 250 people taking statistics randomly takes a sample of 40 of these heights and constructs a 95% confidence interval for the mean height of all students at the college. Which of the following statements about the confidence intervals is most accurate? a. About 95% of the heights of all students at the college will be contained in these intervals. b. About 95% of the time, a student's sample mean height will be contained in his or her interval. c About 95% of the intervals will contain the population mean height. d. About 95% of the intervals will be identical.

Explanation / Answer

5. No of ways = 20*19*18*17 = 116280 ( d)

6. Answer is (a)

Note: as we observed 57% yawned while answering when the person yawned while asking questions, and only 30% yawned while answering questions when the person didn't yawn while asking questions

7.(c)

Note: as 95% confidence interval means 95% samples will contain true population parameter in their interval

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