Answered: The mean SAT score in mathematics, µ,…

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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The mean SAT score in mathematics, µ, is 516. The standard deviation of these scores is 45. A special preparation course claims that its graduates will score higher, on average, than the mean score 516. A random sample of 44 students completed the course, and their mean SAT score in mathematics was 524. Assume that the population is normally distributed. At the 0.05 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation f the scores of course graduates is also 45.

Perform a one – tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table.

The null hypothesis: H₀: ______

The alternative hypothesis: H₁: ______

The type of test statistic: (choose one) ______

The value of the test statistic: _______

(Round to at least three decimal places.)

The critical value of the 0.05 level of significance: _______

(Round to at least three decimal places.)

Can we support the preparation course’s claim that its graduates score higher in SAT? Yes _____, NO ____

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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