15. Coalbed methane is an important source of natural gas in the United States.

Question

15. Coalbed methane is an important source of natural gas in the United States. The Powder River coalfield has approximately 2500 wells, each producing 159,350 cubic feet of gas per day. In order to maintain 163,288 sufficient storage facilities, the mean well output is carefully monitored. A random sample of 11 wells was obtained, and the daily methane output for each was recorded. The sample mean was cubic feet and the standard deviation was s-8792 cubic feet. Assume that the distribution of methane output per well per day is normal, and use = 0.01. a. Is there any evidence to suggest that the mean methane output per well per day has increased? There is evidence to suggest that the mean methane output per well per day has increased. O There is no evidence to suggest that the mean methane output per well per day has increased eBook b. Find bounds on the p value associated with this hypothesis test. 0.05

Explanation / Answer

15) test statistic = (X bar - mean) / (s / sqrt(n)) = (163288 - 159350) / (8792 / sqrt(11)) = 1.49

a) critical value = t0.01,10 = 2.764

Since 1.49 < critical value, we should not reject null hypothesis.

Option-B)

b) p-value = P(T > 1.49)

= 1 - P(T < 1.49) = 1 - 0.9165 = 0.0835

Option-A)

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