The computer science department is making a new recruitment poster for computer science majors and would like to include information about the average salary of a software developer on the Treasure Coast. To estimate the average salary of a software developer, someone from the department collected a random sample of 10 local software developers. Their salaries are listed below. Assume that the salaries of all software developers on the Treasure Coast are normally distributed.81,17482,43582,59881,13182,79182,24181,29282,05181,04182,808Determine the point estimate, ¯xx¯ and the sample standard deviation, ss. Round the solutions to four decimal places, if necessary.¯x=x¯=s=s=Using a 99.9% confidence level, determine the margin of error, EE, and a confidence interval for the average salary of a software developer on the Treasure Coast. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.The margin of error is given by E=E=.A 99.9% confidence interval is given by .

Given data is81174,82435,82598,81131,82791,82241,81292,82051,81041,82808sample size(n)=10

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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 computer science department is making a new recruitment poster for computer science majors and would like to include information about the average salary of a software developer on the Treasure Coast. To estimate the average salary of a software developer, someone from the department collected a random sample of 10 local software developers. Their salaries are listed below. Assume that the salaries of all software developers on the Treasure Coast are normally distributed.

81,174	82,435
82,598	81,131
82,791	82,241
81,292	82,051
81,041	82,808

Determine the point estimate, ¯xx¯ and the sample standard deviation, ss. Round the solutions to four decimal places, if necessary.

¯x=x¯=

s=s=

Using a 99.9% confidence level, determine the margin of error, EE, and a confidence interval for the average salary of a software developer on the Treasure Coast. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.

The margin of error is given by E=E=.

A 99.9% confidence interval is given by .

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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