Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.88. Assume the amounts are normally distributed with standard deviation $18.00. Use the TI-84 Plus calculator to answer the following. (a) Find the 8th percentile of the bill amounts. (b) Find the 63rd percentile of the bill amounts. (c) Find the median of the bill amounts. Round the answers to at least two decimal places. Part 1 of 3 The 8th percentile of the bill amounts is Part 2 of 3 The 63rd percentile of the bill amounts is $ Part 3 of 3 The median of the bill amounts is S 5
Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.88. Assume the amounts are normally distributed with standard deviation $18.00. Use the TI-84 Plus calculator to answer the following. (a) Find the 8th percentile of the bill amounts. (b) Find the 63rd percentile of the bill amounts. (c) Find the median of the bill amounts. Round the answers to at least two decimal places. Part 1 of 3 The 8th percentile of the bill amounts is Part 2 of 3 The 63rd percentile of the bill amounts is $ Part 3 of 3 The median of the bill amounts is S 5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Understanding Electricity Bill Distribution
**Electricity bills**: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.85. Assume the amounts are normally distributed with a standard deviation of $18.00. Use the TI-84 Plus calculator to answer the following questions:
### Tasks
(a) **Find the 8th percentile of the bill amounts.**
(b) **Find the 63rd percentile of the bill amounts.**
(c) **Find the median of the bill amounts.**
**Instruction**: Round the answers to at least two decimal places.
### Part 1 of 3
**Question**: The 8th percentile of the bill amounts is $______.
[Input Field] [Check] [Reset]
### Part 2 of 3
**Question**: The 63rd percentile of the bill amounts is $______.
[Input Field] [Check] [Reset]
### Part 3 of 3
**Question**: The median of the bill amounts is $______.
[Input Field] [Check] [Reset]
---
Use the calculator to find the required percentiles and median. Here is a step-by-step guide to help you:
1. **Calculate the 8th Percentile**:
- Use the invNorm function on the TI-84 Plus calculator.
- Input the mean ($109.85) and standard deviation ($18.00) along with the percentile (0.08).
2. **Calculate the 63rd Percentile**:
- Use the invNorm function on the TI-84 Plus calculator.
- Input the mean ($109.85) and standard deviation ($18.00) along with the percentile (0.63).
3. **Calculate the Median**:
- The median in a normal distribution is the same as the mean.
- Therefore, the median is $109.85.
By following these steps, you can easily find the percentile values and the median for the electricity bill amounts given the normal distribution characteristics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f283cfc-3082-4072-ac5d-2906bb7d4620%2F8df61830-a498-4cb2-8376-5e33b94c7107%2Fnpf0ahp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Electricity Bill Distribution
**Electricity bills**: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.85. Assume the amounts are normally distributed with a standard deviation of $18.00. Use the TI-84 Plus calculator to answer the following questions:
### Tasks
(a) **Find the 8th percentile of the bill amounts.**
(b) **Find the 63rd percentile of the bill amounts.**
(c) **Find the median of the bill amounts.**
**Instruction**: Round the answers to at least two decimal places.
### Part 1 of 3
**Question**: The 8th percentile of the bill amounts is $______.
[Input Field] [Check] [Reset]
### Part 2 of 3
**Question**: The 63rd percentile of the bill amounts is $______.
[Input Field] [Check] [Reset]
### Part 3 of 3
**Question**: The median of the bill amounts is $______.
[Input Field] [Check] [Reset]
---
Use the calculator to find the required percentiles and median. Here is a step-by-step guide to help you:
1. **Calculate the 8th Percentile**:
- Use the invNorm function on the TI-84 Plus calculator.
- Input the mean ($109.85) and standard deviation ($18.00) along with the percentile (0.08).
2. **Calculate the 63rd Percentile**:
- Use the invNorm function on the TI-84 Plus calculator.
- Input the mean ($109.85) and standard deviation ($18.00) along with the percentile (0.63).
3. **Calculate the Median**:
- The median in a normal distribution is the same as the mean.
- Therefore, the median is $109.85.
By following these steps, you can easily find the percentile values and the median for the electricity bill amounts given the normal distribution characteristics.
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