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- From: Mathematics, Statistics and Probability
- Posted on: Thu 21 Jan, 2016
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#1 Find the sample size needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.03 margin of error, use a confidence of 98%, and use the results from a prior Pew Research Center Poll suggesting that 15% of adults have consulted fortune tellers.
#2SAMPLE SIZE USING SAMPLE DATA- Refer to DATA 16 in Appendix B and find the maximum and minimum earthquake magnitudes, then use those values with the range rule of thumb to estimate ?.
How many earthquakes must you randomly select and test if you want to be 95% confident that the sample mean magnitude is 0.2 of the true population mean ยต? The standard deviation of the 50 earthquake magnitudes in Data Set 16 is 0.587. Find the required sample size by using the standard deviation of the sample as an estimate of ?. Which of the two results is likely to be better?
#3 Use the ages (years) of the presidents at the times of their inaugurations. Treating the data as sample, construct a 98% confidence interval estimate of the standard deviation of the population of all such ages. 57,61,57,57,58,57,61,54,68,49,64,48,65,52,46,54,49,47,55,54,42,51,56,55,51,54,51,60,62,43,55,56,52,69,64,46,54,47
#4 You want to estimate ? for the population of waiting times at McDonalds drive up windows, and you want to be 95% confident that the sample standard deviation is within 20% of ? . Find the minimum sample size. Is this sample size practical? (Sample size for 20% is 48)
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