M Missed quiz 3 1 GETTS Unit well yields for9 wells are given below in galminft

Question

M Missed quiz 3 1 GETTS Unit well yields for9 wells are given below in galminft 0.03 0.1. 0.001 0.003 0.04 0.50 0.007 0.02 1.02 Estimate a confidence interval on the median as close as possible to a 95% confidence interval. Use the binomial distribution table and the formulas: R -X+1 and R. n-X.State the exact confidence level that you achieve. Cumulative Probability From Left to Right From Right to Left Sum of Exact Probabilities Sum of Exact Probabilities k Exact Probability for o through k, inclusive for k through 9, inclusive 0 0.00 1953 125 0.001953125 1.0 1 0.017578125 0.01953125 0.998046875 2 0.0703125 0.08984375 0.98046875 3 0.1640625 0.25390625 0.91015625 5 0.24509375 10.74609375 0.5 6.191640625 0.91015625 0.25390625

Explanation / Answer

data point y5 is a good estimator of the median

median = 0.03

calculating CI for data points(y2, y8), we get

P(Y2 < m < Y8)=P(2 W 7)=P(W7)P(W1)=0.980469 - 0.0195313 = 0.960938 = 96.1%

(0.003,0.500) is a good 95% CI for the median

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