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. 81,08082,95981,75182,07382,01981,23482,03882,49182,58682,371Determine the point estimate, x¯ and the sample standard deviation, s. Round the solutions to four decimal places, if necessary. x with the - on top of x=s=Using a 95% confidence level, determine the margin of error, E, 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=A 95% confidence interval is given by =

Given data The sample of 10 local software developer salaries 81,080 82,95981,751 82,07382,019…

Answered: The computer science department is…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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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.

81,080	82,959
81,751	82,073
82,019	81,234
82,038	82,491
82,586	82,371

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

x with the - on top of x=

Using a 95% confidence level, determine the margin of error, E, 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=

A 95% 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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