10. Which of the following unbiased estimators for the mean v, is the most robus

Question

10. Which of the following unbiased estimators for the mean v, is the most robust estimator regardless of the distribution being sampled? O a. the median. X O b, the mean, X oc. the 10% trimmed mean. o d the average ofthe two extreme observations, X. Assume the distribution of employees' accumulated sick leave at a large corporation is normally distributed with an unknown standard deviation o. If a sample of 120 employees has a sample mean 182 and a sample standard deviation 12.5 what is the estimated standard error of R? O a. or 1.30 O lb. or 1.14 O or 12.5 O 1.52 12. Suppose the following is a sample of the sell back prices for five used mathematics textbooks at a local college. If the population distribution is continuous and symmetric, which of the following is a point estimate for the mean value of used textbooks? Data: 15, 12, 22, 11, 18. O a. 78 O b. 15.6 O d. 2.01

Explanation / Answer

Answering 4 parts

10) B. Mean would be the most robust here

11) B)SE = 12.5/Sqrt(120) = 1.14

12 B )Mean =( 22+15+12+11+18 )/5 =15.6

13 D) Standard deviation = sqrt(npq) Standard error = Standard deviation / sqrt(n) = Sqrt(pq)

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