A random sample of 10 houses in a particular area, each of which is heated with

Question

A random sample of 10 houses in a particular area, each of which is heated with natural gas, is selected and the amount of gas (therms) used during the month of January is determined for each house. The resulting observations are 140, 146, 125, 122, 82, 109, 138, 118, 99, 103. Suppose there are 21,000 houses in this area that use natural gas for heating. Let T denote the total amount of gas used by all of these houses during January. Estimate tau using the data of part (a), therms What estimator did you use in computing your estimate? s/x nx s p x

Explanation / Answer

(b)First calculate the sample mean:

(140+…+103)/10=118.2

Thus the total amount of gas used by all these houses is:

n*x bar=21000*118.2

=2482200

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