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Description: A school administrator claims that students whose first language is not English scored worse on the verbal portion of the SAT exam than students whose first language is English. The mean SAT verbal score of students whose first language is English is

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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A school administrator claims that students whose first language is not English scored worse on the verbal portion of the SAT exam than students whose first language is English. The mean SAT verbal score of students whose first language is English is 515 with a population standard deviation of 112, on the basis of data obtained from the College Board. SAT verbal scores are normally distributed.

a) State the appropriate null and alternative hypotheses.

b) Describe the two types of errors that you might make. Identify which is a Type I error and which is a Type II error.

c) Explain the consequences of each type of error. Which is the most serious?

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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