Use the table to find the standard score and percentile of the following data values. a. A data value 1.8 standard deviations below the mean. b. A data value 1 standard deviation below the mean. c. A data value 0.6 standard deviation above the mean. E Click the icon to view the standard scores and percentiles for a normal distribution. a. The standard soore is and the percentile is (Type integers or decimals.) b. The standard score is and the percentile is (Type integers or decimals.) and the percentile is c. The standard score is (Type integers or decimals.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Title: Understanding Standard Scores and Percentiles**

**Instructions:**
Use the table provided to find the standard score (z-score) and corresponding percentile for the given data values:

1. A data value 1.6 standard deviations below the mean.
2. A data value 1.3 standard deviations above the mean.
3. A data value 0.8 standard deviation below the mean.

**Calculation Inputs:**
- The standard score is _____ and the percentile is _____.
- The standard score is _____ and the percentile is _____.
- The standard score is _____ and the percentile is _____.

**Table: Standard Scores and Percentiles for a Normal Distribution**

This detailed table represents the relationship between z-scores and percentiles:

| z-score | Percentile | z-score | Percentile | z-score | Percentile |
|---------|------------|---------|------------|---------|------------|
| -3.0    | 0.13       | -1.0    | 15.87      | 0.0     | 50.00      |
| -2.9    | 0.19       | -0.9    | 18.41      | 0.1     | 53.98      |
| -2.8    | 0.39       | -0.8    | 20.99      | 0.2     | 57.93      |
| -2.7    | 0.64       | -0.7    | 22.66      | 0.3     | 61.79      |
| -2.6    | 1.02       | -0.6    | 25.38      | 0.4     | 65.54      |
| -2.5    | 1.50       | -0.5    | 27.43      | 0.5     | 69.15      |
| -2.4    | 2.05       | -0.4    | 30.85      | 0.6     | 72.57      |
| -2.3    | 3.21       | -0.3    | 32.10      | 0.7     | 75.80      |
| -2.2    | 3.67       | -0.2    | 37.57
Transcribed Image Text:**Title: Understanding Standard Scores and Percentiles** **Instructions:** Use the table provided to find the standard score (z-score) and corresponding percentile for the given data values: 1. A data value 1.6 standard deviations below the mean. 2. A data value 1.3 standard deviations above the mean. 3. A data value 0.8 standard deviation below the mean. **Calculation Inputs:** - The standard score is _____ and the percentile is _____. - The standard score is _____ and the percentile is _____. - The standard score is _____ and the percentile is _____. **Table: Standard Scores and Percentiles for a Normal Distribution** This detailed table represents the relationship between z-scores and percentiles: | z-score | Percentile | z-score | Percentile | z-score | Percentile | |---------|------------|---------|------------|---------|------------| | -3.0 | 0.13 | -1.0 | 15.87 | 0.0 | 50.00 | | -2.9 | 0.19 | -0.9 | 18.41 | 0.1 | 53.98 | | -2.8 | 0.39 | -0.8 | 20.99 | 0.2 | 57.93 | | -2.7 | 0.64 | -0.7 | 22.66 | 0.3 | 61.79 | | -2.6 | 1.02 | -0.6 | 25.38 | 0.4 | 65.54 | | -2.5 | 1.50 | -0.5 | 27.43 | 0.5 | 69.15 | | -2.4 | 2.05 | -0.4 | 30.85 | 0.6 | 72.57 | | -2.3 | 3.21 | -0.3 | 32.10 | 0.7 | 75.80 | | -2.2 | 3.67 | -0.2 | 37.57
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