Answered: 99% confidence interval for the…

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 warehouse owner wants to know the average weight of books at his facility. He weighs 22 books and finds that the sample has a mean weight of 9.39 pounds and standard deviation of 2.43 pounds. Construct a 99% confidence interval for the population mean of book weights. Assume the population is normally distributed.

Choose the correct confidence interval and critical value used in the calculation.

A. (8.06,10.72) (Zc=2.576)

B. (7.94,10.84)(tc=2.8073)

C. (7.92,10.86) (tc=2.8314)

D. (8.18,10.6) (Zc=2.326)

E. (7.93,10.85)(tc=2.8187)

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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