Answered: A researcher examines whether an over…

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 examines whether an over the counter cold medication has an effect on mental alertness. A sample of n=16 participants is obtained, and each person is given a standard dose of the medication one hour before being tested on a driving simulation task. For the general population, scores on the simulation task are normally distributed with a µ = 60 and s=8. The sample scores an average of M=56. Can the researchers conclude that the scores on the driving simulation task are significantly different after taking the medication? (test at alpha = .05 and show all of the steps of hypothesis testing)

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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