Answered: Test the claim about the means of two…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 26PFA

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25. Test the claim about the means of two populations. Assume that two dependent samples have been randomly selected from a normally distributed population. Show work.

Five students took a math test before and after tutoring. Their scores were as follows:

Subject A B C D E

Before 77 69 66 72 69

After 81 78 64 75 81

Use a 0.01 level of significance to test the claim that tutoring improved the math scores.

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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