The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 10% of UGPAs?(b) Between what two values does the middle 50% of the UGPAs lie? 3.4042.8Grade point averageμ=3.40σ=0.17x A normal curve labeled mu = 3.40 and sigma = 0.17 is over a horizontal x-axis labeled Grade point average from 2.8 to 4 in increments of 0.3 and is centered on 3.40. (a) The minimum UGPA that would still place a student in the top 10% of UGPAs is nothing.(Round to two decimal places as needed.)(b) The middle 50% of UGPAs lies between nothing on the low end and nothing on the high end.(Round to two decimal places as needed.)

Answered: 3.4042.8Grade point average μ=3.40…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure.

(a) What is the minimum UGPA that would still place a student in the top 10% of UGPAs?

(b) Between what two values does the middle 50% of the UGPAs lie?

3.4042.8Grade point average

μ=3.40

σ=0.17

A normal curve labeled mu = 3.40 and sigma = 0.17 is over a horizontal x-axis labeled Grade point average from 2.8 to 4 in increments of 0.3 and is centered on 3.40.

(a) The minimum UGPA that would still place a student in the top 10% of UGPAs is nothing.

(Round to two decimal places as needed.)

(b) The middle 50% of UGPAs lies between nothing on the low end and nothing on the high end.

(Round to two decimal places as needed.)

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.

Expert Solution

Step 1

A normal curve labeled mu = 3.40 and sigma = 0.17 is over a horizontal x-axis labeled Grade point average from 2.8 to 4 in increments of 0.3 and is centered on 3.40.