Answered: A random sample of 24 observations is…

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 random sample of 24 observations is used to estimate the population mean. The sample mean and the sample standard deviation are calculated as 104.6 and 28.8, respectively. Assume that the population is normally distributed. (You may find it useful to reference the t table.)

a. Construct the 90% confidence interval for the population mean. (Round final answers to 2 decimal places.)

b. Construct the 99% confidence interval for the population mean. (Round final answers to 2 decimal places.)

c. Use your answers to discuss the impact of the confidence level on the width of the interval.

multiple choice

As the confidence level increases, the interval becomes narrower.
As the confidence level increases, the interval becomes wider.

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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