please answer all parts or don\'t bother answering at all. Please make sure your

Question

please answer all parts or don't bother answering at all. Please make sure your answers are correct and I promise to give you a thumbs up. Thank you in advance

3. -/6 pointsDevoreStat9 6.E.007 (a) A gas, is selected and the amount of gas (therms) used during the month of January is determined for each house. The resulting observations are 125, 118, 109, 138, 84, 153, 147, 103, 99, 122, Let denote the average gas usage during January by all houses in this area. random sample of 10 houses in a particular area, each of which is heated with natural Compute a point estimate of . therms (b) Suppose there are 13,000 houses in this area that use natural gas for heating. Let denote the total amount of gas used by all of these houses during January. Estimate using the data of part (a). therms What estimator did you use in computing your estimate? Onx O s O s/x

Explanation / Answer

here a point estimate of meu can be obtained through the statistic sample mean i.e. x bar.
it is given as x bar=(x1+x2+...+xn)/n

here, n=10 is the sample size

x bar is obtained as=1198/10=119.8

b) for estimating the total amount of gas used the estimator that can be used is N*(x bar)

where N is the total population size.

here N=13000

thus the estimated total gas consumption is 13000*119.8 =1557400(units)

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