MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Is this correct? I don't want to move onto the next two parts unless if it is but an explanation on everything would be helpful! Thank you!

### Investigation of Foot Length Discrepancy in College Students

#### Introduction

It is considered quite common for individuals to have feet of unequal length. In a study involving 10 healthy college students, the lengths of the right and left feet were measured in millimeters (mm).

#### Objective

Test the claim that, on average, there is a measurable difference between the left and right foot lengths.

#### Data

| Length in mm  | Left Foot (x) | Right Foot (y) | \(d = x - y\) |
|---------------|---------------|----------------|---------------|
|               | 281           | 281            | 0             |
|               | 258           | 257            | 1             |
|               | 266           | 267            | -1            |
|               | 270           | 269            | 1             |
|               | 274           | 273            | 1             |
|               | 254           | 253            | 1             |
|               | 265           | 265            | 0             |
|               | 250           | 250            | 0             |
|               | 266           | 267            | -1            |
|               | 245           | 245            | 0             |

- **Mean of Left Foot:** 262.9 mm
- **Mean of Right Foot:** 262.7 mm
- **Standard Deviation (s) for Left Foot:** 11.1300394328942
- **Standard Deviation (s) for Right Foot:** 11.1758668567587
- **Mean Difference (d):** 0.2 mm
- **Standard Deviation of Differences (s):** 0.788810637746616

#### Statistical Analysis

(a) **Find the Test Statistic**
  
The calculated test statistic is **0.23**.

(b) **Hypothesis Testing at 0.05 Significance Level**

- **Positive Critical Value:** [To be filled by user]
- **Negative Critical Value:** [To be filled by user]

The test aims to determine if the mean difference in foot length is statistically significant. By using a t-test for paired data, the hypothesis can be evaluated against the calculated critical values.
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Transcribed Image Text:### Investigation of Foot Length Discrepancy in College Students #### Introduction It is considered quite common for individuals to have feet of unequal length. In a study involving 10 healthy college students, the lengths of the right and left feet were measured in millimeters (mm). #### Objective Test the claim that, on average, there is a measurable difference between the left and right foot lengths. #### Data | Length in mm | Left Foot (x) | Right Foot (y) | \(d = x - y\) | |---------------|---------------|----------------|---------------| | | 281 | 281 | 0 | | | 258 | 257 | 1 | | | 266 | 267 | -1 | | | 270 | 269 | 1 | | | 274 | 273 | 1 | | | 254 | 253 | 1 | | | 265 | 265 | 0 | | | 250 | 250 | 0 | | | 266 | 267 | -1 | | | 245 | 245 | 0 | - **Mean of Left Foot:** 262.9 mm - **Mean of Right Foot:** 262.7 mm - **Standard Deviation (s) for Left Foot:** 11.1300394328942 - **Standard Deviation (s) for Right Foot:** 11.1758668567587 - **Mean Difference (d):** 0.2 mm - **Standard Deviation of Differences (s):** 0.788810637746616 #### Statistical Analysis (a) **Find the Test Statistic** The calculated test statistic is **0.23**. (b) **Hypothesis Testing at 0.05 Significance Level** - **Positive Critical Value:** [To be filled by user] - **Negative Critical Value:** [To be filled by user] The test aims to determine if the mean difference in foot length is statistically significant. By using a t-test for paired data, the hypothesis can be evaluated against the calculated critical values.
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