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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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15. The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing process last week. 

Technician Shutdowns
Taylor 6
Hurley 4
Gupta 6
Rousche 3
Huang 2
 
### Statistical Sampling and Mean Calculation

#### a. Determining Number of Different Samples
How many different samples of two technicians are possible from this population?

Here is a field/form to enter your calculation:
- **No of different samples:** ___________

#### b. Calculation of Means for All Possible Samples
List all possible samples of two observations each and compute the mean of each sample. (Round your answers to 1 decimal place.)

Here is a table you should fill out with your data:

| **Shutdowns** | **Mean** |
|:-------------:|:-------:|
|               |         |
|               |         |
|               |         |
|               |         |
|               |         |
|               |         |
|               |         |
|               |         |
|               |         |
|               |         |

### Instructions for Table:
1. **Shutdowns Column:** Record each unique pair of shutdown observations.
2. **Mean Column:** Calculate and record the mean of these shutdown observations. Remember to round your answers to one decimal place.

This format is designed to help students learn how to calculate combinations and perform basic statistical operations in a systematic manner.
Transcribed Image Text:### Statistical Sampling and Mean Calculation #### a. Determining Number of Different Samples How many different samples of two technicians are possible from this population? Here is a field/form to enter your calculation: - **No of different samples:** ___________ #### b. Calculation of Means for All Possible Samples List all possible samples of two observations each and compute the mean of each sample. (Round your answers to 1 decimal place.) Here is a table you should fill out with your data: | **Shutdowns** | **Mean** | |:-------------:|:-------:| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ### Instructions for Table: 1. **Shutdowns Column:** Record each unique pair of shutdown observations. 2. **Mean Column:** Calculate and record the mean of these shutdown observations. Remember to round your answers to one decimal place. This format is designed to help students learn how to calculate combinations and perform basic statistical operations in a systematic manner.
### Comparing the Mean of Sample Means and Population Mean

#### Instructions:
Compare the mean of the sample means with the population mean. **Round your answers to 2 decimal places.**

#### Data Table:
```
|-------------------------------|--------|
| The mean of the sample means is|        |
|-------------------------------|--------|
| The population mean is        |        |
|-------------------------------|--------|
```

#### Summary Statement:
```
Both means are ________.
```

Complete the table by calculating and entering the values for the mean of the sample means and the population mean. Finally, provide a summary statement with the rounded value for both means.
Transcribed Image Text:### Comparing the Mean of Sample Means and Population Mean #### Instructions: Compare the mean of the sample means with the population mean. **Round your answers to 2 decimal places.** #### Data Table: ``` |-------------------------------|--------| | The mean of the sample means is| | |-------------------------------|--------| | The population mean is | | |-------------------------------|--------| ``` #### Summary Statement: ``` Both means are ________. ``` Complete the table by calculating and entering the values for the mean of the sample means and the population mean. Finally, provide a summary statement with the rounded value for both means.
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