Answered: A friend who hears that you are taking…

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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Question

A friend who hears that you are taking a statistics class asks for help with a chemistry lab report. She has made four independent measurements of the specific gravity of a compound. The results are 3.82, 3.93, 3.67, and 3.78 a) The lab manual asks for a 95% confidence interval for the true specific gravity. b) Explain to your friend what the 95% confidence interval implies. C) You now notice that the lab manual says that repeated measurements will vary according to a Normal distribution with standard deviation σ = 0.15. Redo the confidence interval of part a) using this information. d) What critical value from the Normal table would you use if you wanted 80% confidence rather than the 95% confidence?

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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