Answered: Six randomly selected students took an…

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

Six randomly selected students took an IQ test A, and the next day they took a very similar IQ test B. Their scores are shown in the table below

Student	1	2	3	4	5	6
Test A	121	93	71	119	104	100
Test B	121	91	72	122	108	100

Let d = Test A score - Test B score and denote by μd the mean of the differences. It was already calculated from the above table that d¯ = −1 and sd = 2.19. Assume that the scores in Test A and B are normally distributed.

1. The standardized test statistic is closest to

2. Find the rejection region and state your decision at α = .05.

3. Use calculator program to find the 99% confidence interval for μd

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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