Answered: Four items are each measured twice. The…

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

Four items are each measured twice. The data are
from normal distributions.
1 2 3 4
Sample 1 8 5 6 9
Sample 2 6 5 3 8
a) Find the differences di and di2 for each
matched pair.
b) Find d-bar.
c) Find sd .
d) Find the 95% CI for the difference between
the two population means.
e) Is it plausible that the population means are
the same? Explain.

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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