Answered: CALCULATION OF 95% CONFIDENCE INTERVAL…

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 3BGP

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CALCULATION OF 95% CONFIDENCE INTERVAL FOR THE DIFFERENCE BETWEEN THE MEANS OF TWO VARIABLES

The variables are from populations with normal distributions that have the same standard deviation (σ). To make the estimate, take the same number of samples from each population, calculate the mean for each sample, calculate the difference between those sample means, and then add or subtract the term that defines the confidence interval.

If the width of the confidence interval should be less than 2 x σ, what is the minimum number of samples you should take from each population?

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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