Chapter 9.1, Problem 9E

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:

1. Let μ_J denote the average gas usage during January by all houses in this area. Calculate a point estimate of μ_J.
2. Suppose that 10,000 houses in this area use natural gas for heating. Let τ denote the total amount of gas used by all of these houses during January. Estimate τ using the given data. What statistic did you use to calculate your estimate?
3. Use the given data to estimate p, the proportion of all houses that used at least 100 therms.
4. Give a point estimate of the population median usage based on the given data. Which statistic did you use?