Answered: Eight randomly selected volunteers were…

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

Eight randomly selected volunteers were monitored while following a diet for six months. Their BMIs before and after the six months are recorded in the table below. Assume BMI is normally distributed.

BMI Before	22.9	33.5	29.2	31.8	26.4	24.5	23.3	32.4
BMI After	22.8	33.2	28.3	31.3	26.5	23.8	22.9	32.1

BMI

Before

22.9

33.5

29.2

31.8

26.4

24.5

23.3

32.4

BMI

After

22.8

33.2

28.3

31.3

26.5

23.8

22.9

32.1

Conduct a hypothesis test to see whether there is a significant difference between the BMI of the volunteers before and after following the diet. What are the critical values, test statistics, pvalue, and the decision for this hypothesis test?

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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