The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers.C) Construct and interpret a 99% confidence interval for the mean pH of rainwater.(Use the ascending order. Round to two decimal places as needed.)There is 99% confidence that the population mean pH of rain water is between ___ and ___. The image shows a table with numerical data and a snippet of an online educational platform interface.**Table Data:**- **Column 1:** 5.58, 5.02, 4.87- **Column 2:** 5.72, 4.58, 4.76- **Column 3:** 4.99, 4.74, 4.56- **Column 4:** 4.80, 5.19, 5.69**Interface Elements:**- There is a message prompting users to complete their choice by filling in answer boxes.- A clear visual button is present for users to "Check answer."- An option to "Clear all" inputs is available.**Additional Information:**- The bottom portion of the interface shows the current temperature and weather condition, indicating "68°F" and "Mostly cloudy."- The time and date displayed on the interface are "4:38 PM" and "1/15/2022."

Given: n = 12 Confidence level = 99% Formula Used: Confidence Interval = X ± t*sn

Answered: The following data represent the pH of…

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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The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. C) Construct and interpret a 99% confidence interval for the mean pH of rainwater. (Use the ascending order. Round to two decimal places as needed.) There is 99% confidence that the population mean pH of rain water is between ___ and ___.

The image shows a table with numerical data and a snippet of an online educational platform interface.

**Table Data:**
- **Column 1:** 5.58, 5.02, 4.87
- **Column 2:** 5.72, 4.58, 4.76
- **Column 3:** 4.99, 4.74, 4.56
- **Column 4:** 4.80, 5.19, 5.69

**Interface Elements:**
- There is a message prompting users to complete their choice by filling in answer boxes.
- A clear visual button is present for users to "Check answer."
- An option to "Clear all" inputs is available.

**Additional Information:**
- The bottom portion of the interface shows the current temperature and weather condition, indicating "68°F" and "Mostly cloudy."
- The time and date displayed on the interface are "4:38 PM" and "1/15/2022."

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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