A population consists of the following five values: 2, 2, 4, 4, and 8. a. List all samples of size 2, and compute the mean of each sample. Sample Values Sum Mean 1 2 4 7 8 9. 10 b. Compute the mean of the distribution of sample means and the population Mean of the distribution of the sample mean Population mean Both means are

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### Sampling and Descriptive Statistics

A population consists of the following five values: 2, 2, 4, 4, and 8.

#### a. List all samples of size 2, and compute the mean of each sample.

**Table: Samples of Size 2**

| Sample | Values | Sum | Mean |
|--------|--------|-----|------|
| 1      |        |     |      |
| 2      |        |     |      |
| 3      |        |     |      |
| 4      |        |     |      |
| 5      |        |     |      |
| 6      |        |     |      |
| 7      |        |     |      |
| 8      |        |     |      |
| 9      |        |     |      |
| 10     |        |     |      |

#### b. Compute the mean of the distribution of sample means and the population mean. Compare the two values.

**Table: Comparison of Means**

|                      | Value |
|----------------------|-------|
| Mean of the distribution of the sample mean |       |
| Population mean      |       |
| Both means are       |       |

This exercise involves calculating the mean for each possible pair of samples from the given population and then comparing these sample means with the population mean.
Transcribed Image Text:### Sampling and Descriptive Statistics A population consists of the following five values: 2, 2, 4, 4, and 8. #### a. List all samples of size 2, and compute the mean of each sample. **Table: Samples of Size 2** | Sample | Values | Sum | Mean | |--------|--------|-----|------| | 1 | | | | | 2 | | | | | 3 | | | | | 4 | | | | | 5 | | | | | 6 | | | | | 7 | | | | | 8 | | | | | 9 | | | | | 10 | | | | #### b. Compute the mean of the distribution of sample means and the population mean. Compare the two values. **Table: Comparison of Means** | | Value | |----------------------|-------| | Mean of the distribution of the sample mean | | | Population mean | | | Both means are | | This exercise involves calculating the mean for each possible pair of samples from the given population and then comparing these sample means with the population mean.
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