Answered: a) Using the 6868 – 9595 – 99.799.7…

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 SRS of 450450 high school seniors gained an average of ?¯=23.61x¯=23.61 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ?=50.67.σ=50.67. We want to estimate the mean change in score ?μ in the population of all high school seniors.

(a) Using the 6868 – 9595 – 99.799.7 Rule or the ?-z-table (Table A), give a 99.7%99.7% confidence interval (?,?)(a,b) for ?μ based on this sample.

(Enter your answers rounded to three decimal places

a:=

b:=

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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