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Name: The lengths of text messages are normally distributed with a populatio
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Description: The lengths of text messages are normally distributed with a population standard deviation of 3 characters and an unknown population mean. If a random sample of 28 text messages is taken and results in a sample mean of 29 characters, find a 99% confi

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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The lengths of text messages are normally distributed with a population standard deviation of 3 characters and an unknown population mean. If a random sample of 28 text messages is taken and results in a sample mean of 29 characters, find a 99% confidence interval for the population mean. Round your answers to two decimal places.

z0.10	z0.05	z0.04	z0.025	z0.01	z0.005
1.282	1.645	1.751	1.960	2.326	2.576

You may use a calculator or the common z-values above.

Select the correct answer below:

(28.01,29.99)

(27.89,30.11)

(27.68,30.32)

(28.27,29.73)

(27.54,30.46)

(28.07,29.93)

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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