A random sample of 10 houses heated with natural gas in a particular area is sel

Question

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:

99 84 104 95 112 116 143 120 133 150

(a) Let J denote the average gas usage during January by all houses in this area. Compute a point estimate of J.

______ therms

(b) Suppose that 10,000 houses in this area use natural gas for heating. Let denote the total amount of gas used by all of these houses during January. Estimate using the given data.

______ therms

What statistic did you use in computing your estimate?

sample range

sample variance

sample standard deviation

sample mean

(c) Use the given data to estimate p, the proportion of all houses that used at least 100 therms.

(d) Give a point estimate of the population median usage based on the given sample. therms Which statistic did you use?

population variance

sample median

population mean

sample standard deviation

Explanation / Answer

a) Point estimate, xbarj=115.60

b) Sample mean.

c) P(phat>=100)=7/10=0.7

d) sample median.

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