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09, 99, 122, 84, 103. Let u denote the average gas usage during January by all houses in this area. Compute a point estimate of μ. therms part (a). 2) Suppose there are 29,000 houses this area that use natural gas for heating. Let r denote the total amount of gas used by all of these houses during January. Estimate r using the data therms What estimator did you use in computing your estimate? Os/x O nx OX Os Op :) Use the data in part (a) to estimate p, the proportion of all houses that used. least 100 therms. 1) 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). therms What estimator did you use? Ox Op Os/x OX Os resulting

09, 99, 122, 84, 103. Let u denote the average gas usage during January by all houses in this area. Compute a point estimate of μ. therms part (a). 2) Suppose there are 29,000 houses this area that use natural gas for heating. Let r denote the total amount of gas used by all of these houses during January. Estimate r using the data therms What estimator did you use in computing your estimate? Os/x O nx OX Os Op :) Use the data in part (a) to estimate p, the proportion of all houses that used. least 100 therms. 1) 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). therms What estimator did you use? Ox Op Os/x OX Os resulting

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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### Estimation of Gas Usage in Houses Heated with Natural Gas #### (a) Estimating the 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: - 118, 142, 125, 138, 144, 109, 99, 122, 84, 103 Let \(\mu\) denote the average gas usage during January by all houses in this area. **Compute a point estimate of \(\mu\)**: ``` ______ therms ``` #### (b) Total Gas Usage in the Area Suppose there are 29,000 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). **Estimate \(\tau\)**: ``` ______ therms ``` **What estimator did you use in computing your estimate?** - \( S / \bar{x} \) - \( n\tau \) - \( \bar{x} \) - \( S \) - \( \hat{p} \) #### (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**: ``` ______ therms ``` #### (d) Point Estimate of Population Median Gas Usage **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)**: ``` ______ therms ``` **What estimator did you use?** - \( \bar{x} \) - \( \hat{p} \) - S / \(\bar{x} \) - \( \tilde{x} \) - \( S \) This content introduces students to statistical concepts such as point estimation and the use of sample data to make inferences about a larger population.
Transcribed Image Text:### Estimation of Gas Usage in Houses Heated with Natural Gas #### (a) Estimating the 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: - 118, 142, 125, 138, 144, 109, 99, 122, 84, 103 Let \(\mu\) denote the average gas usage during January by all houses in this area. **Compute a point estimate of \(\mu\)**: ``` ______ therms ``` #### (b) Total Gas Usage in the Area Suppose there are 29,000 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). **Estimate \(\tau\)**: ``` ______ therms ``` **What estimator did you use in computing your estimate?** - \( S / \bar{x} \) - \( n\tau \) - \( \bar{x} \) - \( S \) - \( \hat{p} \) #### (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**: ``` ______ therms ``` #### (d) Point Estimate of Population Median Gas Usage **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)**: ``` ______ therms ``` **What estimator did you use?** - \( \bar{x} \) - \( \hat{p} \) - S / \(\bar{x} \) - \( \tilde{x} \) - \( S \) This content introduces students to statistical concepts such as point estimation and the use of sample data to make inferences about a larger population.
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