Scores on the Wechsler Adult intelligence Scale (a standard ID test) for certain age group are normally distributed with mean μ = 100 and standard deviation σ = 15. (Find the Z score/s for each question first, and then use Table A-2 at the back of your book to find the following probabilities). Show your work. D. MENSA is an elite organization that admits as members' people who score in the top 2% on IQ tests. What score on the Wchsler Adult Intelligence Scale would an individual have to earn to qualify for MENSA membership? E. Find the first quartile (Q1)? Hint: (Q1 separates the bottom 25%) ## Negative z Scores### TABLE A-2: Standard Normal (z) Distribution: Cumulative Area from the LEFTThis table provides the cumulative area from the left under the standard normal curve for negative z-scores. The table is structured as follows:- **z-Score Values:** The first column represents negative z-scores ranging from -3.4 to 0.0 in increments of 0.1.- **Columns (from .00 to .09):** These columns represent further decimal points of the z-score, allowing more precise calculations.For example, the cumulative area for a z-score of -1.5 and a second decimal of .03 is 0.0630.#### Graph Description:The graph above the table illustrates the standard normal distribution curve. The curve is symmetrical about the mean (z = 0) and highlights the area to the left of a negative z-score.### Additional Notes:- **Values Below -3.49:** For z-scores less than -3.49, use 0.0001 for the area.- **Common Interpolated Values:** - z Score: -1.645, Area: 0.0500 - z Score: -2.575, Area: 0.0050These interpolations are used when exact values are between those displayed in the table.

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Description: Scores on the Wechsler Adult intelligence Scale (a standard ID test) for certain age group are normally distributed with mean μ = 100 and standard deviation σ = 15. (Find the Z score/s for each question first, and then use Table A-2 at the back of y

Solution: It is given that the scores on the Wechsler Adult intelligence Scale (a standard ID test)…

Answered: Scores on the Wechsler Adult…

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Scores on the Wechsler Adult intelligence Scale (a standard ID test) for certain age group are normally distributed with mean μ = 100 and standard deviation σ = 15. (Find the Z score/s for each question first, and then use Table A-2 at the back of your book to find the following probabilities). Show your work.

D. MENSA is an elite organization that admits as members' people who score in the top 2% on IQ tests. What score on the Wchsler Adult Intelligence Scale would an individual have to earn to qualify for MENSA membership?

E. Find the first quartile (Q1)? Hint: (Q1 separates the bottom 25%)

## Negative z Scores

### TABLE A-2: Standard Normal (z) Distribution: Cumulative Area from the LEFT

This table provides the cumulative area from the left under the standard normal curve for negative z-scores. The table is structured as follows:

- **z-Score Values:** The first column represents negative z-scores ranging from -3.4 to 0.0 in increments of 0.1.
- **Columns (from .00 to .09):** These columns represent further decimal points of the z-score, allowing more precise calculations.

For example, the cumulative area for a z-score of -1.5 and a second decimal of .03 is 0.0630.

#### Graph Description:
The graph above the table illustrates the standard normal distribution curve. The curve is symmetrical about the mean (z = 0) and highlights the area to the left of a negative z-score.

### Additional Notes:

- **Values Below -3.49:** For z-scores less than -3.49, use 0.0001 for the area.
- **Common Interpolated Values:**
- z Score: -1.645, Area: 0.0500
- z Score: -2.575, Area: 0.0050

These interpolations are used when exact values are between those displayed in the table.

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