A shoe manufacturer claims that among the general population of adults in the United States, the average length of the left foot is longer than that of the right. A random (okay, this is reaching a little bit but I wanted to use our data) sample of 23 adults is listed below.Use a significance level of 0.05 (α = 0.05) to test to see if the left foot is longer than the right. Since we are assuming the data is random let’s also assume the population approaches a normal distribution. ### Sample Measurements DataThe table below presents sample measurements in inches for both left and right sides.| **Sample** | **Left (inches)** | **Right (inches)** ||------------|-------------------|--------------------|| 1 | 9.25 | 9.25 || 2 | 9.125 | 9.25 || 3 | 10.2 | 10.2 || 4 | 10.25 | 10.25 || 5 | 9.875 | 9.75 || 6 | 8.25 | 8.5 || 7 | 9.1 | 8.9 || 8 | 8.2 | 8.1 || 9 | 9.0 | 9.0 || 10 | 10.8 | 10.7 || 11 | 11.0 | 11.25 || 12 | 10.2 | 10.2 || 13 | 9.45 | 9.25 || 14 | 8.74 | 8.72 || 15 | 10.7 | 10.7 || 16 | 9.3 | 9.4 || 17 | 10.25 | 10.25 || 18 | 9.875 | 10.0 || 19 | 11.4 | 11.5 || 20 | 8.74 | 8.76 || 21 | 8.7 | 8.5 || 22 | 10.125 | 10.325 || 23 | 10 | 9.7 |This dataset can be utilized for educational purposes, such as understanding the uniformity and variability in paired measurements. It provides a clear framework to discuss potential sources of measurement error or natural variation.### Explanation:- **Sample**: Each row represents a different sample.- **Left (inches)**: Measurements taken at

Answered: Image /qna-images/answer/8b76b0ec-12d0-4ee8-8c59-c5d804b16ef7.jpg

Answered: A shoe manufacturer claims that among…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

A shoe manufacturer claims that among the general population of adults in the United States, the average length of the left foot is longer than that of the right. A random (okay, this is reaching a little bit but I wanted to use our data) sample of 23 adults is listed below.

Use a significance level of 0.05 (α = 0.05) to test to see if the left foot is longer than the right. Since we are assuming the data is random let’s also assume the population approaches a normal distribution.

### Sample Measurements Data

The table below presents sample measurements in inches for both left and right sides.

| **Sample** | **Left (inches)** | **Right (inches)** |
|------------|-------------------|--------------------|
| 1 | 9.25 | 9.25 |
| 2 | 9.125 | 9.25 |
| 3 | 10.2 | 10.2 |
| 4 | 10.25 | 10.25 |
| 5 | 9.875 | 9.75 |
| 6 | 8.25 | 8.5 |
| 7 | 9.1 | 8.9 |
| 8 | 8.2 | 8.1 |
| 9 | 9.0 | 9.0 |
| 10 | 10.8 | 10.7 |
| 11 | 11.0 | 11.25 |
| 12 | 10.2 | 10.2 |
| 13 | 9.45 | 9.25 |
| 14 | 8.74 | 8.72 |
| 15 | 10.7 | 10.7 |
| 16 | 9.3 | 9.4 |
| 17 | 10.25 | 10.25 |
| 18 | 9.875 | 10.0 |
| 19 | 11.4 | 11.5 |
| 20 | 8.74 | 8.76 |
| 21 | 8.7 | 8.5 |
| 22 | 10.125 | 10.325 |
| 23 | 10 | 9.7 |

This dataset can be utilized for educational purposes, such as understanding the uniformity and variability in paired measurements. It provides a clear framework to discuss potential sources of measurement error or natural variation.

### Explanation:
- **Sample**: Each row represents a different sample.
- **Left (inches)**: Measurements taken at

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions