A random sample of 10 houses heated with natural gas in a particular area, is selected, and the amount of gas (in therms) used during the month of January is determined for each house. The resulting observations are as follows:
$\begin{array}{llllllllll}103 & 156 & 118 & 89 & 125 & 147 & 122 & 109 & 138 & 99\end{array}$
a. Let $\mu_{J}$ denote the average gas usage during January by all houses in this area. Compute a point estimate of $\mu_{J}$
b. Suppose that 10,000 houses in this area use natural gas for heating. Let $\tau$ denote the total amount of gas used by all of these houses during January. Estimate $\tau$ using the given data. What statistic did you use in computing your estimate?
c. Use the data in Part (a) to estimate $p$, the proportion of all houses that used at least 100 therms.
d. Give a point estimate of the population median us-
age based on the sample of Part (a). Which statistic did you use?
