Answered: Heart rates are determined before and…

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

47. Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let μ1μ1 = mean before workout.

before	75	65	65	67	72	75	72	74	74
after	81	72	72	74	73	73	71	77	82

Select the correct Hypotheses:

H0:μd≤0H0:μd≤0
Ha:μd>0Ha:μd>0

H0:μ1=μ2H0:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2

H0:μd≥0H0:μd≥0
Ha:μd<0Ha:μd<0

H0:μd=0H0:μd=0
Ha:μd≠0Ha:μd≠0

H0:μ1≥μ2H0:μ1≥μ2
Ha:μ1<μ2Ha:μ1<μ2

H0:μ1≤μ2H0:μ1≤μ2
Ha:μ1>μ2Ha:μ1>μ2

Test Statistic =
	[three decimal accuracy]

p-value =
	[three decimal accuracy]

Conclusion:

Reject H0H0
Fail to Reject H0H0

Interpret the conclusion in context:

There is enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout.
There is not enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout.

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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