Answered: Suppose that a committee is studying…

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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Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was 8 hours with a sample standard deviation of 4.6 hours.

1. Which distribution should you use for this problem? Explain your choice.

a. The standard Normal distribution should be used because the population standard deviation is known.

b. The Student's tt-distribution for 81 degrees of freedom should be used because we do not know the population standard deviation.

c. The Student's tt-distribution for 80 degrees of freedom should be used because we do not know the population standard deviation.

d. The standard Normal distribution should be used because the sample standard deviation is known.\

2. Construct a 95% confidence interval for the population mean time wasted. State the confidence interval. Use 3 decimal places.

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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