MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Need help... 10.1

(a) A random sample of 10 houses in a particular 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 118, 142, 125, 138, 144,
109, 99, 122, 84, 103. Let μ denote the average gas usage during January by all houses in this area. Compute a point estimate of μ.
therms
(b) Suppose there are 29,000 houses in this area that use natural gas for heating. Let T 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?
O s/x
O nx
O X
O s
O p
(c) Use the data in part (a) to estimate p, the proportion of all houses that used at least 100 therms.
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Transcribed Image Text:(a) A random sample of 10 houses in a particular 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 118, 142, 125, 138, 144, 109, 99, 122, 84, 103. Let μ denote the average gas usage during January by all houses in this area. Compute a point estimate of μ. therms (b) Suppose there are 29,000 houses in this area that use natural gas for heating. Let T 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? O s/x O nx O X O s O p (c) Use the data in part (a) to estimate p, the proportion of all houses that used at least 100 therms.
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