Answered: Suppose we claim that the average GPA…

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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Question

Suppose we claim that the average GPA for all students at a University is less than 2.9. From a sample of 15 students, the average GPA is 2.85 with a standard deviation of 1.6. The GPAʹs are normally distributed and α = 0.05. Choose the appropriate decision rule below.

A) Reject H0 if t > 1.761

B) Reject H0 if t < -2.145

C) Reject H0 if t < -1.761

D) Reject H0 if z < -1.645

E) Reject H0 if z > 1.645

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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