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 Taylor Hurley Gupta Rousche Huang Shutdowns 4 3 Different samples 5 3 2 a. How many samples, without replacement, of size two are possible? b. List all possible samples of two observations each and compute the mean of each sample. (Round your answers to 1 decimal place.)

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The Quality Control Department employs five technicians during the day shiftListed below is the number of times each technicians instructed the production foreman to shut down the manufacturing process last week
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     | 4         |
| Hurley     | 3         |
| Gupta      | 5         |
| Rousche    | 3         |
| Huang      | 2         |

**a.** How many samples, without replacement, of size two are possible?

[Different samples ___ ]

**b.** List all possible samples of two observations each and compute the mean of each sample. *(Round your answers to 1 decimal place.)*
Transcribed Image Text: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 | 4 | | Hurley | 3 | | Gupta | 5 | | Rousche | 3 | | Huang | 2 | **a.** How many samples, without replacement, of size two are possible? [Different samples ___ ] **b.** List all possible samples of two observations each and compute the mean of each sample. *(Round your answers to 1 decimal place.)*
**Data Table:**

| 3.2 |
| 3.3 |
| 3.5 |
| 3.5 |
| 4.2 |
| 4.3 |
| 4.5 |
| 4.5 |
| 5.2 |
| 5.3 |
| 3.2 |
| 4.3 |

**Instructions:**

c. Compare the mean of the sample means with the population mean. **(Round your answers to 1 decimal place.)**

**Mean Comparison Table:**

| Description                       | Value |
|-----------------------------------|-------|
| The mean of the sample means is   |       |
| The population mean is            |       |

**Note:** Remember to calculate the values to 1 decimal place.
Transcribed Image Text:**Data Table:** | 3.2 | | 3.3 | | 3.5 | | 3.5 | | 4.2 | | 4.3 | | 4.5 | | 4.5 | | 5.2 | | 5.3 | | 3.2 | | 4.3 | **Instructions:** c. Compare the mean of the sample means with the population mean. **(Round your answers to 1 decimal place.)** **Mean Comparison Table:** | Description | Value | |-----------------------------------|-------| | The mean of the sample means is | | | The population mean is | | **Note:** Remember to calculate the values to 1 decimal place.
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