Answered: Computing the Z-test Statistic The…

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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Computing the Z-test Statistic

The State College is evaluating a new English composition course for freshmen. A random sample of n = 25 freshmen is selected from the State College. All 25 students are placed in the new English composition course during their first semester. One year later, a writing sample is obtained for each student and their writing samples are graded using a standardized evaluation technique. The average score for the sample is M= 76. For the general population of the State College, writing scores form a normal distribution with a mean = 70 and a standard deviation = 20.

Please calculate the appropriate hypothesis test using all four steps?

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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