Answered: The College Board SAT college entrance…

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

The College Board SAT college entrance exam consists of two sections: math and evidence-based reading and writing (EBRW). Sample data showing the math and EBRW scores for a sample of 12 students who took the SAT follow. Click on the datafile logo to reference the data.

Student	Math	EBRW	Student	Math	EBRW
1	540	474	7		480	430
2	432	380	8		499	459
3	528	463	9		610	615
4	574	612	10		572	541
5	448	420	11		390	335
6	502	526	12		593	613

a. Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the EBRW scores.

What is the test statistic? Enter negative values as negative numbers. Round your answer to two decimal places.
t=

What is the p -value? Round your answer to four decimal places.

b. What is the point estimate of the difference between the mean scores for the two tests?

What are the estimates of the population mean scores for the two tests?

Math test
EBRW test

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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