Descriptive Statistics* *Check With Your Instructor Before Starting this Intro to Stats (May Be Completed with Chapter 3). Example data set: There are two different soil types, A and B. Six sample measurements were taken of each soil type. Each sample represents how much a 100 mL container of the soil weighed in grams. The balance used is accurate to one-tenth of one gram. MEASUREMENT TYPE SOIL TYPE A SOIL TYPE B Sample 1 35.8 g Sample 2 30.2 g Sample 3 33.3 g Sample 4 34.4 g 30.8 g Sample 5 32.1 g Sample 6 AVERAGE or MEAN STANDARD DEVIATION 1.6 p-value For the following questions you may use a calculator or Excel or another computer program. For direc- tions on how to use Excel, see Chapter 3. 1. Calculate the AVERAGE or MEAN value for soil type A and soil type B and enter the data in the table above. Be sure to use appropriate significant figures. 2. Calculate the STANDARD DEVIATION for soil type A and soil type B and enter the data in the table above. Be sure to use appropriate significant figures. 3. Run a Student's t-test, generate a p-value between two sets of data, and draw a conclusion re- garding significance based on the p-value. 12.2 g 14.9 g 12.2 g 13.6 g 16.8 g 14.3 g 14

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3. Find p-value.
### Chapter 3: Descriptive Statistics

**Check With Your Instructor Before Starting this Intro to Stats (May Be Completed with Chapter 3).**

**Example data set:** There are two different soil types, A and B. Six sample measurements were taken of each soil type. Each sample represents how much a 100 mL container of the soil weighed in grams. The balance used is accurate to one-tenth of one gram.

#### Table: Soil Sample Measurements

| Measurement Type | Soil Type A | Soil Type B |
|------------------|-------------|-------------|
| Sample 1         | 12.2 g      | 35.8 g      |
| Sample 2         | 14.9 g      | 30.2 g      |
| Sample 3         | 12.6 g      | 33.3 g      |
| Sample 4         | 13.6 g      | 34.4 g      |
| Sample 5         | 16.8 g      | 30.8 g      |
| Sample 6         | 14.3 g      | 32.1 g      |
| **AVERAGE OF MEAN** | 14 g        | 32.8 g      |
| **STANDARD DEVIATION** | 1.9 g  | 2.1 g       |
| **p-value**          |       |     |


For the following questions, you may use a calculator, Excel, or another computer program. For directions on how to use Excel, see Chapter 3.

1. **Calculate the AVERAGE or MEAN value** for soil type A and soil type B and enter the data in the table above. Be sure to use appropriate significant figures.
   
2. **Calculate the STANDARD DEVIATION** for soil type A and soil type B and enter the data in the table above. Be sure to use appropriate significant figures.

3. **Run a Student's t-test**, generate a **p-value** between two sets of data, and draw a conclusion regarding significance based on the **p-value**.
Transcribed Image Text:### Chapter 3: Descriptive Statistics **Check With Your Instructor Before Starting this Intro to Stats (May Be Completed with Chapter 3).** **Example data set:** There are two different soil types, A and B. Six sample measurements were taken of each soil type. Each sample represents how much a 100 mL container of the soil weighed in grams. The balance used is accurate to one-tenth of one gram. #### Table: Soil Sample Measurements | Measurement Type | Soil Type A | Soil Type B | |------------------|-------------|-------------| | Sample 1 | 12.2 g | 35.8 g | | Sample 2 | 14.9 g | 30.2 g | | Sample 3 | 12.6 g | 33.3 g | | Sample 4 | 13.6 g | 34.4 g | | Sample 5 | 16.8 g | 30.8 g | | Sample 6 | 14.3 g | 32.1 g | | **AVERAGE OF MEAN** | 14 g | 32.8 g | | **STANDARD DEVIATION** | 1.9 g | 2.1 g | | **p-value** | | | For the following questions, you may use a calculator, Excel, or another computer program. For directions on how to use Excel, see Chapter 3. 1. **Calculate the AVERAGE or MEAN value** for soil type A and soil type B and enter the data in the table above. Be sure to use appropriate significant figures. 2. **Calculate the STANDARD DEVIATION** for soil type A and soil type B and enter the data in the table above. Be sure to use appropriate significant figures. 3. **Run a Student's t-test**, generate a **p-value** between two sets of data, and draw a conclusion regarding significance based on the **p-value**.
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