Answered: Tom thinks lions are slower than…

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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Tom thinks lions are slower than tigers. You wish to test his claim at alpha = .05, using the following data: 19 lions run 100 meters in an average 5.6 sec. with a s.d. = 1.2 sec; 13 tigers run 100 meters in an average 4.9 sec. with a s.d. = 2.7 sec. Assume the run times are normally distributed. Write Step 1 in the 5 step process (assume population 1 is for lions, and population 2 is for tigers). Group of answer choices Test H0: μ1 =μ2 vs. μ1 > μ2 Test H0: μ1 =μ2 vs. μ1 < μ2 Test H0: μ1 μ2 Test H0: μ1 > μ2 vs. μ1 < μ2

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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