** Descriptive Statistics and Hypothesis Testing **

** Descriptive Statistics and Hypothesis Testing. **Work within this document and provide a complete response to each of the items. Once complete submit to the assignment drop box.

**Scales of Measurement (2 points)**

- Define each of the following scales and provide at least one example for each:

- Nominal Scale
- Ordinal Scale
- Interval Scale
- Ratio Scale

- Briefly explain why the scale of measurement is important and relevant to statistics (3-4 sentences).

## descriptive and inferential statistics and hypothesis testing

**Distributions (2 points)**

- Define each of the following types of distributions and provide at least one example of a data that would likely create the type of distribution:

- Normal Distribution
- Positive Distribution
- Negative Distribution
- Bimodal Distribution
- Inverted U-shaped Distribution

### descriptive and inferential statistics and hypothesis testing

**Measures of Central Tendency and Dispersion (3 points)**

- Define each of the following measures and provide at least one example of the most appropriate instance when to utilize the type of measure (also include the appropriate Greek symbol for each):

- Mean
- Median
- Mode
- Range
- Standard Deviation
**D**

#### hypothesis-testing involves inferential and descriptive statistics

**Cross Tabulations (5 points)**

- Below is a cross-tabulation table of data from a 12-week study of diet and exercise. Compute the following probabilities (show the calculations):

- Marginal Probability
- Joint Probability
- Conditional Probability

Achievement of Goal Weight |
|||

Weight Loss Strategy |
Achieved Goal Weight |
Did Not Achieve Goal Weight |
Total |

Diet alone |
20 | 80 | 100 |

Diet and exercise |
60 | 40 | 100 |

Total |
80 | 120 | 200 |

**Hypotheses and Significance **

- Define each of the following terms and provide at least one example for each (include the statistical symbols for each:

- Null Hypothesis
- Nondirectional Hypothesis
- Directional Hypothesis
- Statistical Significance
- Type I Error
- Type II Error
- Power