Answered: Give a 95% confidence interval for μ…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 6CR

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Question about the confidence interval: An SRS of 900 high school seniors gained an average of ¯x=14 points in their CAT exam. Assume that the change in score has a normal distribution with standard deviation δ=44. We want to estimate the mean change in score μ in the population of all high school seniors. Give a 95% confidence interval for μ based on this sample. Based on your confidence interval in part (a), how certain are you that the mean change in score μ in the population of all high school seniors is greater than 0? (Hint: does the interval in part (a) include 0?)

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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