Answered: a. Are the data sufficent to conclude…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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A researcher investigates whether cold medicine effects mental alertness. It is known that scores on a standardized test containing a variety of problem-solving tasks are normally distributed with M=64 and SD=8. A random sample of n=16 teenage and a sample of n=25 adults are given the drug and then tested. On average the teenagers scored an average of M=58 and the adults scored an average of M=65.5.

a. Are the data sufficent to conclude that the medication significantly reduces metal alertness in teenagers? test with a signifigance level a= .01

b. Are the data sufficent to conclude that the medication signfigigantly increases the mental alertness in adults? test with a signfigance level of a=.01

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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