Answered: 1-2: The Institute of Educational…

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

#1-2: The Institute of Educational Sciences published the following results of the Trends in International Math
and Science Study. Suppose independent random samples of student’s scores are drawn from each
population and assume the populations are normally distributed.

1) At a level of significance α = .01 can we conclude that students in the USA had a lower population mean
score than students in Hong Kong? Support your answer by performing a hypothesis test.

2) Construct a 95% confidence interval for the difference in population means of the test scores. Does your
interval support one country did better? Explain.

USA
Hong Kong
n₁ = 74
n²-82
x₁ = 538
X₂ = 575
St=80
$2= 70

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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