Question

A random sample of 10 houses in Big Rapids, each of which is heated with natural gas, is selected and the amount of gas used during the month of January is determined for each house. The resulting observed gas usages are 108, 161, 123, 94, 130, 152, 127, 114, 143, 104. Assume that the usage follows a normal distribution. Let μ denote the average gas usage during January by all houses in this area a. Compute a point estimate of u. b. Give a point estimate of the population median usage based on the sample. What estimator would you use? What is the maximum likelihood estimation ofμ and σ based on the data given? Are they both unbiased? C.

Answer 1

108 , i6f , l 23 , 94 130, l5 2, l 27, 114 , l43, i04 x μ populatuen mean i0 lo ia - 125.6 Estinnare岮才he populatiem median based em sampe -125 5th 6thbserwatum 123+12 2. 2. Im serted ender 94,104, 103, 14,123,127,13 0 143, 152, 16) m-1)2 2. ラ

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