(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 d The resulting observations are 103, 118, 87, 143, 122, 99, 148, 138, 125, 109. Let u denote the average gas usage during January by all houses in this area. Compute a point est therms (b) Suppose there are 12,000 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 r usin therms What estimator did you use in computing your estimate? OX Op O nx Os/X Os (c) Use the data in part (a) to estimate p, the proportion of all houses that used at least 100 therms.
(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 d The resulting observations are 103, 118, 87, 143, 122, 99, 148, 138, 125, 109. Let u denote the average gas usage during January by all houses in this area. Compute a point est therms (b) Suppose there are 12,000 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 r usin therms What estimator did you use in computing your estimate? OX Op O nx Os/X Os (c) Use the data in part (a) to estimate p, the proportion of all houses that used at least 100 therms.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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![### Statistical Analysis of Gas Usage in Homes
#### (a) Point Estimate of Average Gas Usage
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:
- 103, 118, 87, 143, 122, 99, 148, 138, 125, 109
Let \(\mu\) denote the average gas usage during January by all houses in this area. Compute a point estimate of \(\mu\):
\[
\boxed{\ \ \ \ \ \ }
\]
#### (b) Total Gas Usage Estimate
Suppose there are 12,000 houses in this area that use natural gas for heating. Let \(\tau\) denote the total amount of gas used by all of these houses during January. Estimate \(\tau\) using the data from part (a).
\[
\boxed{\ \ \ \ \ \ }
\]
**What estimator did you use in computing your estimate?**
- [ ] \(\tilde{x}\)
- [ ] \(\hat{p}\)
- [ ] \(n\tilde{x}\)
- [ ] \(s / \tilde{x}\)
- [ ] \(s\)
#### (c) Proportion of Houses Using At Least 100 Therms
Use the data in part (a) to estimate \(p\), the proportion of all houses that used at least 100 therms.
\[
\boxed{\ \ \ \ \ \ }
\]
#### (d) Population Median Usage Estimate
Give a point estimate of the population median usage (the middle value in the population of all houses) based on the sample from part (a).
\[
\boxed{\ \ \ \ \ \ }
\]
**What estimator did you use?**
- [ ] \(s\)
- [ ] \(\hat{p}\)
- [ ] \(s / \tilde{x}\)
- [ ] \(\tilde{x}\)
- [ ] \(\bar{x}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6be9064-f0d8-4347-98bd-8b0b263612a8%2F75c4d560-20f2-4185-9d5f-e43cf5c97839%2F4of55t_processed.png&w=3840&q=75)
Transcribed Image Text:### Statistical Analysis of Gas Usage in Homes
#### (a) Point Estimate of Average Gas Usage
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:
- 103, 118, 87, 143, 122, 99, 148, 138, 125, 109
Let \(\mu\) denote the average gas usage during January by all houses in this area. Compute a point estimate of \(\mu\):
\[
\boxed{\ \ \ \ \ \ }
\]
#### (b) Total Gas Usage Estimate
Suppose there are 12,000 houses in this area that use natural gas for heating. Let \(\tau\) denote the total amount of gas used by all of these houses during January. Estimate \(\tau\) using the data from part (a).
\[
\boxed{\ \ \ \ \ \ }
\]
**What estimator did you use in computing your estimate?**
- [ ] \(\tilde{x}\)
- [ ] \(\hat{p}\)
- [ ] \(n\tilde{x}\)
- [ ] \(s / \tilde{x}\)
- [ ] \(s\)
#### (c) Proportion of Houses Using At Least 100 Therms
Use the data in part (a) to estimate \(p\), the proportion of all houses that used at least 100 therms.
\[
\boxed{\ \ \ \ \ \ }
\]
#### (d) Population Median Usage Estimate
Give a point estimate of the population median usage (the middle value in the population of all houses) based on the sample from part (a).
\[
\boxed{\ \ \ \ \ \ }
\]
**What estimator did you use?**
- [ ] \(s\)
- [ ] \(\hat{p}\)
- [ ] \(s / \tilde{x}\)
- [ ] \(\tilde{x}\)
- [ ] \(\bar{x}\)
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