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). A. What percent of IQ scores are less than 122?B. What is the probability that a randomly selected adult in this age group has an IQ score higher than 147? Is this a significant/unusual event? Explain.C. What percent of adults in this age group have IQs between 85 and 100? Is this significant/unusual event? Explain. # Negative z Scores## TABLE A-2 Standard Normal (z) Distribution: Cumulative Area from the LEFTThis table provides the cumulative area from the left for negative z scores in a standard normal distribution. This is useful for statistical analysis and probability calculations that involve normal distributions.### Table Structure- **z Score**: The leftmost column lists z scores ranging from -3.5 and lower up to -0.0. These are negative values representing standard deviations below the mean in a standard normal distribution.- **Columns .00 to .09**: These columns provide the cumulative area from the far left of the standard normal distribution to the specified z score, broken down to two decimal places.### DiagramA bell curve diagram is displayed above the table, illustrating the normal distribution. The yellow shaded area represents the cumulative probability to the left of a z score, denoting the area of interest when using this table.### Table Data Example- For a **z score of -1.5**: - At .00, the area is **0.0668** - At .01, the area is **0.0665** - At .02, the area is **0.0643**, and so on.### Special Notes- Values for **z** below -3.49 should use 0.0001 for the area.- Commonly interpolated values are highlighted: - **z Score: -1.645, Area: 0.0500** - **z Score: -2.575, Area: 0.0050**This table continues beyond the section shown, indicating more comprehensive coverage of z scores for broader statistical evaluations.

Given, Mean μ=100 Standard deviation σ=15a)P(x<122)=Px-μσ<122-μσ =Pz<122-10015…

Answered: What percent of IQ scores are less than…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Section: Chapter Questions

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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).

A. What percent of IQ scores are less than 122?

B. What is the probability that a randomly selected adult in this age group has an IQ score higher than 147? Is this a significant/unusual event? Explain.

C. What percent of adults in this age group have IQs between 85 and 100? Is this significant/unusual event? Explain.

# Negative z Scores

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

This table provides the cumulative area from the left for negative z scores in a standard normal distribution. This is useful for statistical analysis and probability calculations that involve normal distributions.

### Table Structure

- **z Score**: The leftmost column lists z scores ranging from -3.5 and lower up to -0.0. These are negative values representing standard deviations below the mean in a standard normal distribution.
- **Columns .00 to .09**: These columns provide the cumulative area from the far left of the standard normal distribution to the specified z score, broken down to two decimal places.

### Diagram

A bell curve diagram is displayed above the table, illustrating the normal distribution. The yellow shaded area represents the cumulative probability to the left of a z score, denoting the area of interest when using this table.

### Table Data Example

- For a **z score of -1.5**:
- At .00, the area is **0.0668**
- At .01, the area is **0.0665**
- At .02, the area is **0.0643**, and so on.

### Special Notes

- Values for **z** below -3.49 should use 0.0001 for the area.
- Commonly interpolated values are highlighted:
- **z Score: -1.645, Area: 0.0500**
- **z Score: -2.575, Area: 0.0050**

This table continues beyond the section shown, indicating more comprehensive coverage of z scores for broader statistical evaluations.

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