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 118 90 128 104 123 100 149 158 140 111 (a) Let Ay denote the average gas usage during January by all houses in this area. Compute a point estimate of Hj. therms b) Suppose that 10,000 houses in this area use natural gas or heating Let denote the total amount of gas used by all of these o ses during January. Estimate using the given data. therms What statistic did you use in computing your estimate? sample standard deviation O sample mean sample variance O sample range (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? sample median O population mean sample standard deviation population variance

Explanation / Answer

Solution:- given that  118,90,128,104,123,100,149,158,140,111

a) The point estmate of mean = sum of terms /no of terms

= 1221/10

= 122.1

b) 122.1 * 10000 = 1221000 therms

=> option b. sample mean

c) p = 9/10 = 0.9

d)  Median = (118 + 123)/2 = 120.5 therms

=> option a. sample median

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