Question 6 [4 points]: he national headquarters of Omicron Omicron Pi Sigma frat

Question

Question 6 [4 points]: he national headquarters of Omicron Omicron Pi Sigma fraternity is concerned with the stereotype of fratboys as incorrigible alcoholics. They conduct a survey of a random sample of their membership nationwide. One of the items on the survey asks each respondent to indicate how many "recreational beverages" he has consumed in the past week. From these data, headquarters staffers compute a (95%) confidence interval for the mean. They obtain a result of 12 +2. Which is the following is the best interpretation of this result? It is probably true (95% likely) that most Omicron Omicron Pi Sigma brothers consume between 10 and 14 ‘recreational beverages, per week. If they were to repeat the survey many times, in the long run 95% of the time the population mean would be between 10 and 14. The average number of 'recreational beverages' consumed by ALL Omicron Omicron Pi Sigma brothers last week (including those not surveyed) is probably somewhere between 10 and 14 The vast majority (about 95%) of all Omicron Omicron Pi Sigma brothers consumed between 10 and 14 ‘recreational beverages, last week.

Explanation / Answer

Remember this:

If repeated samples were taken and the 95% confidence interval was computed for each sample, 95% of the intervals would contain the population mean. A 95%confidence interval has a 0.95 probability of containing the population mean. 95% of the population distribution is contained in the confidence interval.

B option is right.

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