Please show all work A random sample of 10 houses in a particular metropolitan a

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Please show all work

A random sample of 10 houses in a particular metropolitan 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 103, 156, 118, 89, 125, 147, 122, 109, 138, 99. Let mu denote the average gas usage during January by all houses (population) in this area. (a) Compute the sample mean as a point estimate of mu. (b) Compute the sample standard deviation s. (c) Compute a standard error for the estimate found in part (a). (d) Use the data to estimate p, the proportion of all houses that used at least 100 therms of gas during the month of January. (e) Compute a standard error for the estimate found in part (d). (f) Give a point estimate for the population median usage based on the sample data values.

Explanation / Answer

Excel formula:

(A) Sample esimate for mean 120.6 (therms) (B) Std deviation SD= 21.57776633 (therms) (C ) Std error=SD/sqrt(n) 6.823488844 (therms) (D) Proportion (p) of houses that used at least 100 therms 0.8 (E ) Std error SD= 0.4 SE=SD/sqrt(n)= 0.126491 (F) Median usage= 120

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