An intelligence scale for children is approximately normally distributed, with mean 100 and standard deviation 15.D. Yes or No for the boxE. ?F. ? **Educational Website Content: Understanding Intelligence Scores**An intelligence scale for children is approximately normally distributed, with a mean of 100 and a standard deviation of 15. Explore the concepts below by solving parts (a) through (f).---**Click to view the standard normal distribution table:**- [Page 1 of the standard normal distribution table](#)- [Page 2 of the standard normal distribution table](#)---**(Round to four decimal places as needed.)****(c) What proportion of test takers will score between 110 and 140?**- Result: **0.2486****(d) Would it be unusual for a randomly selected child to have a score above 150?**- Answer dropdown: **because P(X > 150) = [Blank for calculation]** - (Round to four decimal places as needed.)**(e) What intelligence score will place a child in the 98th percentile?**- Answer: **[Blank for calculation]**- (Round to the nearest whole number as needed.)**(f) If normal intelligence is defined as scoring in the middle 95% of all test takers, determine the scores that differentiate normal intelligence from abnormal intelligence.**- Normal children score between **[Blank]** and **[Blank]** points.- (Round to the nearest whole number as needed. Use ascending order.)---By solving these problems, students will gain insights into how intelligence scores are distributed in a population and how to use normal distribution tables to determine percentile ranks and interpret unusual scores.

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Answered: An intelligence scale for children is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An intelligence scale for children is approximately normally distributed, with mean 100 and standard deviation 15. D. Yes or No for the box E. ? F. ?

**Educational Website Content: Understanding Intelligence Scores**

An intelligence scale for children is approximately normally distributed, with a mean of 100 and a standard deviation of 15. Explore the concepts below by solving parts (a) through (f).

---

**Click to view the standard normal distribution table:**

- [Page 1 of the standard normal distribution table](#)

- [Page 2 of the standard normal distribution table](#)

---

**(Round to four decimal places as needed.)**

**(c) What proportion of test takers will score between 110 and 140?**

- Result: **0.2486**

**(d) Would it be unusual for a randomly selected child to have a score above 150?**

- Answer dropdown: **because P(X > 150) = [Blank for calculation]**

- (Round to four decimal places as needed.)

**(e) What intelligence score will place a child in the 98th percentile?**

- Answer: **[Blank for calculation]**

- (Round to the nearest whole number as needed.)

**(f) If normal intelligence is defined as scoring in the middle 95% of all test takers, determine the scores that differentiate normal intelligence from abnormal intelligence.**

- Normal children score between **[Blank]** and **[Blank]** points.

- (Round to the nearest whole number as needed. Use ascending order.)

---

By solving these problems, students will gain insights into how intelligence scores are distributed in a population and how to use normal distribution tables to determine percentile ranks and interpret unusual scores.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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