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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**Simulation Example:**

Denise has a bad habit of sleeping through her alarm in the mornings. She oversleeps and is late for her 8 am class 10% of the time.

1. **We want to simulate 15 days of 8 am classes for Denise. Which of the following digit assignments would work for this simulation? (only one correct answer)**

    a) 0 to 8 = on time, 9 = late to class  
    b) 00 to 49 = on time, 50 to 99 = late to class  
    c) 0 to 4 = on time, 5 to 9 = late to class  
    d) 00 to 90 = on time, 91 to 99 = late to class  

2. **Use the random digit assignment from the previous question, start at line 104 from the random number table A (attached to the back) to simulate the 15 class days.**

    | Day         | 1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | 9th | 10th | 11th | 12th | 13th | 14th | 15th |
    |-------------|-----|-----|-----|-----|-----|-----|-----|-----|-----|------|------|------|------|------|------|
    | Random Number |     |     |     |     |     |     |     |     |     |      |      |      |      |      |      |
    | Was she on time or late? |     |     |     |     |     |     |     |     |     |      |      |      |      |      |      |

3. **What percent of days was Denise late in this simulation?**

4. **How does this compare to the 10% probability we were given at the beginning? If there is a difference, why are they different?**

**Explanation of Visuals:**

- A table is provided to record the random numbers and determine whether Denise was on time or late for each of the 15 days. Each column represents one day of class.
- Participants in the exercise will fill out the table based on the chosen digit assignment method and random numbers from the supplementary material.
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Transcribed Image Text:**Simulation Example:** Denise has a bad habit of sleeping through her alarm in the mornings. She oversleeps and is late for her 8 am class 10% of the time. 1. **We want to simulate 15 days of 8 am classes for Denise. Which of the following digit assignments would work for this simulation? (only one correct answer)** a) 0 to 8 = on time, 9 = late to class b) 00 to 49 = on time, 50 to 99 = late to class c) 0 to 4 = on time, 5 to 9 = late to class d) 00 to 90 = on time, 91 to 99 = late to class 2. **Use the random digit assignment from the previous question, start at line 104 from the random number table A (attached to the back) to simulate the 15 class days.** | Day | 1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | 9th | 10th | 11th | 12th | 13th | 14th | 15th | |-------------|-----|-----|-----|-----|-----|-----|-----|-----|-----|------|------|------|------|------|------| | Random Number | | | | | | | | | | | | | | | | | Was she on time or late? | | | | | | | | | | | | | | | | 3. **What percent of days was Denise late in this simulation?** 4. **How does this compare to the 10% probability we were given at the beginning? If there is a difference, why are they different?** **Explanation of Visuals:** - A table is provided to record the random numbers and determine whether Denise was on time or late for each of the 15 days. Each column represents one day of class. - Participants in the exercise will fill out the table based on the chosen digit assignment method and random numbers from the supplementary material.
**Table A: Random Digits**

This table consists of rows and columns filled with random digits. It's commonly used in statistics and research to simulate random sampling or for other purposes where random numbers are needed.

**Description:**

- **Line Numbers:** Each row begins with a line number ranging from 101 to 150.
- **Random Digits:** Each line contains five groups of five-digit numbers. The numbers are randomly arranged without any apparent pattern, reflecting the typical output of a random digit table.

**Example Entries:**

- **Line 101:** 19223, 95034, 05756, 28713, 96409
- **Line 102:** 12531, 42544, 82853
- **Line 103:** 73676, 47150, 99400, 01927, 27754

The table serves as a tool to extract unbiased random samples for experimental and other purposes.
expand button
Transcribed Image Text:**Table A: Random Digits** This table consists of rows and columns filled with random digits. It's commonly used in statistics and research to simulate random sampling or for other purposes where random numbers are needed. **Description:** - **Line Numbers:** Each row begins with a line number ranging from 101 to 150. - **Random Digits:** Each line contains five groups of five-digit numbers. The numbers are randomly arranged without any apparent pattern, reflecting the typical output of a random digit table. **Example Entries:** - **Line 101:** 19223, 95034, 05756, 28713, 96409 - **Line 102:** 12531, 42544, 82853 - **Line 103:** 73676, 47150, 99400, 01927, 27754 The table serves as a tool to extract unbiased random samples for experimental and other purposes.
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