Answered: The 2008 Workplace Productivity Survey,…

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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1. Interval estimation of a population mean, population standard deviation known

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, included the question, “How many work-related e-mails do you receive during the typical workday?” Let x = the number of work-related e-mails a legal professional receives during a typical workday. Suppose that x is normally distributed with a known standard deviation of 24.3.

A sample of 250 legal professionals was surveyed, and the sample’s mean response was 36.7 e-mails. Use the sample information to estimate μ, the mean number of work-related e-mails a legal professional receives during a typical workday.

The sampling distribution of x̄ x̄ is normal with a mean _____ and a standard deviation ______ .

Use the following Distributions tool to develop a 99% confidence interval estimate of the mean number of work-related e-mails a legal professional receives during a typical workday.

You can be 99% confident that the interval estimate _____ to ______ includes the population mean µ.

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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