(a) Use a calculator with mean and standard deviation keys to verify that x,, s, x2, and s,. (Round your answers to four decimal places.) ppm S1 = ppm x, = ppm S2 = ppm (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find an 80% confidence interval for u, - H. (Round your answers to one decimal place.) lower limit ppm upper limit ppm
(a) Use a calculator with mean and standard deviation keys to verify that x,, s, x2, and s,. (Round your answers to four decimal places.) ppm S1 = ppm x, = ppm S2 = ppm (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find an 80% confidence interval for u, - H. (Round your answers to one decimal place.) lower limit ppm upper limit ppm
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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![Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions.
**Region I: \( x_{1i}, n_1 = 15 \)**
- Data: 853, 1,551, 1,230, 875, 1,080, 2,330, 1,850, 1,860, 2,340, 1,080, 910, 1,130, 1,450, 1,260, 1,010.
**Region II: \( x_{2j}, n_2 = 14 \)**
- Data: 540, 808, 790, 1,230, 1,770, 960, 1,650, 860, 890, 640, 1,180, 1,160, 1,050, 1,020.
---
### Instructions:
#### (a) Use a calculator with mean and standard deviation keys to verify:
Round your answers to four decimal places.
\[
\bar{x}_1 = \quad \text{ppm}
\]
\[
s_1 = \quad \text{ppm}
\]
\[
\bar{x}_2 = \quad \text{ppm}
\]
\[
s_2 = \quad \text{ppm}
\]
#### (b) Let \( \mu_1 \) be the population mean for \( x_1 \) and let \( \mu_2 \) be the population mean for \( x_2 \).
Find an 80% confidence interval for \( \mu_1 - \mu_2 \). Round your answers to one decimal place.
- Lower limit: \(\quad \text{ppm} \)
- Upper limit: \(\quad \text{ppm} \)
---
There is a button labeled "USE SALT," possibly referencing a simulation or analysis tool.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a8d585f-99dd-4e5d-b593-c7eaddfe8ce4%2Fb74b5eca-7d78-4a04-bfe5-682216e74c1c%2Fjevtawq_processed.png&w=3840&q=75)
Transcribed Image Text:Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentrations increasing progressively up the food chain (fruit < vegetables < cereals < nuts < corpse). Geochemical surveys take soil samples to determine phosphorous content (in ppm, parts per million). A high phosphorous content may or may not indicate an ancient burial site, food storage site, or even a garbage dump. Independent random samples from two regions gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions.
**Region I: \( x_{1i}, n_1 = 15 \)**
- Data: 853, 1,551, 1,230, 875, 1,080, 2,330, 1,850, 1,860, 2,340, 1,080, 910, 1,130, 1,450, 1,260, 1,010.
**Region II: \( x_{2j}, n_2 = 14 \)**
- Data: 540, 808, 790, 1,230, 1,770, 960, 1,650, 860, 890, 640, 1,180, 1,160, 1,050, 1,020.
---
### Instructions:
#### (a) Use a calculator with mean and standard deviation keys to verify:
Round your answers to four decimal places.
\[
\bar{x}_1 = \quad \text{ppm}
\]
\[
s_1 = \quad \text{ppm}
\]
\[
\bar{x}_2 = \quad \text{ppm}
\]
\[
s_2 = \quad \text{ppm}
\]
#### (b) Let \( \mu_1 \) be the population mean for \( x_1 \) and let \( \mu_2 \) be the population mean for \( x_2 \).
Find an 80% confidence interval for \( \mu_1 - \mu_2 \). Round your answers to one decimal place.
- Lower limit: \(\quad \text{ppm} \)
- Upper limit: \(\quad \text{ppm} \)
---
There is a button labeled "USE SALT," possibly referencing a simulation or analysis tool.
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