Answered: The duration in hours that a developer…

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

The duration in hours that a developer takes to provide a certain database solution for a customer can be modelled with a normal distribution with mean ? and a standard deviation of 50 hours. The development times for twelve past projects chosen at random are as follows:

183, 222, 303, 262, 178, 232, 268, 201, 244, 183, 201, 140

Provide a 95% confidence interval for the mean ?.
Calculate the smallest number of project times needed to be sampled in order to decrease the width of the confidence interval to below 25.

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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