(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). therms What estimator did you use? Ox Op Os/x Oz Os
(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). therms What estimator did you use? Ox Op Os/x Oz Os
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
Related questions
Question
Only answer c and d. Thank you. 10.2
![### Educational Exercise on Estimation and Sampling
This exercise focuses on estimating population parameters based on a sample. Detailed below are the steps and computations required.
#### (a) Point Estimate of Average Gas Usage
A random sample of 10 houses in a particular area, each using natural gas for heating, was selected. The amount of gas used during January (in therms) was recorded for each house. The observed values are:
\[118, 142, 125, 138, 144, 109, 99, 122, 84, 103\]
Let \(\mu\) be the average gas usage (in therms) for all houses in this area during January. Compute a point estimate of \(\mu\).
#### (b) Estimating Total Gas Usage
Suppose there are 29,000 houses in this area that use natural gas for heating. Let \(\tau\) denote the total gas usage of all these houses in January. Estimate \(\tau\) using the data from part (a).
*Input Box: (Total amount of gas usage during January)*
**Question:**
Which estimator did you use in computing your estimate?
- \(s / \bar{x}\)
- \(n\bar{x}\)
- \(\bar{x}\)
- \(s\)
- \(\hat{p}\)
#### (c) Proportion of Houses Using More Than 100 Therms
Using the data provided in part (a), estimate \(p\), the proportion of houses that used at least 100 therms.
*Input Box: (Estimated proportion of houses using at least 100 therms)*
#### (d) Point Estimate of Population Median 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).
*Input Box: (Median usage in therms)*
**Question:**
Which estimator did you use?
- \(\bar{x}\)
- \(\hat{p}\)
- \(s / \bar{x}\)
- \(n\bar{x}\)
- \(s\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18694516-cac0-450c-bfd2-4a4488b9c5fd%2F7f8185dc-dc44-4684-bc2f-68b4ec5e13bb%2Fq19l97_processed.png&w=3840&q=75)
Transcribed Image Text:### Educational Exercise on Estimation and Sampling
This exercise focuses on estimating population parameters based on a sample. Detailed below are the steps and computations required.
#### (a) Point Estimate of Average Gas Usage
A random sample of 10 houses in a particular area, each using natural gas for heating, was selected. The amount of gas used during January (in therms) was recorded for each house. The observed values are:
\[118, 142, 125, 138, 144, 109, 99, 122, 84, 103\]
Let \(\mu\) be the average gas usage (in therms) for all houses in this area during January. Compute a point estimate of \(\mu\).
#### (b) Estimating Total Gas Usage
Suppose there are 29,000 houses in this area that use natural gas for heating. Let \(\tau\) denote the total gas usage of all these houses in January. Estimate \(\tau\) using the data from part (a).
*Input Box: (Total amount of gas usage during January)*
**Question:**
Which estimator did you use in computing your estimate?
- \(s / \bar{x}\)
- \(n\bar{x}\)
- \(\bar{x}\)
- \(s\)
- \(\hat{p}\)
#### (c) Proportion of Houses Using More Than 100 Therms
Using the data provided in part (a), estimate \(p\), the proportion of houses that used at least 100 therms.
*Input Box: (Estimated proportion of houses using at least 100 therms)*
#### (d) Point Estimate of Population Median 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).
*Input Box: (Median usage in therms)*
**Question:**
Which estimator did you use?
- \(\bar{x}\)
- \(\hat{p}\)
- \(s / \bar{x}\)
- \(n\bar{x}\)
- \(s\)
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