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zvonat [6]
3 years ago
11

(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 ga

s (therms) used during the month of January is determined for each house. The resulting observations are 138, 145, 99, 125, 144, 103, 109, 89, 122, 118. Let μ denote the average gas usage during January by all houses in this area. Compute a point estimate of μ.
(b) Suppose there are 25,000 houses in this area that use natural gas for heating. Let τ denote the total amount of gas used by all of these houses during January. Estimate τ using the data of part (a).
therms

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

(d) Give a point estimate of the population median usage (the middle value in the population of all houses) based on the sample of part (a).
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

Step-by-step explanation:

From the given sample of 10 entries we find

Mean =119.2

Median =120

Point estimate of μ.=19.2

b) Suppose there are 25,000 houses in this area that use natural gas for heating. Let τ denote the total amount of gas used by all of these houses during January.

τ =25000(119.2)\\= 2980000

c) Proportion would be sample proportion = \frac{8}{10} =0.8

d) Population median usage = sample median usage = 120

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7 0
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8 0
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