Answered: The starting salaries of individuals…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000.

What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $30,000 (at least 30000 means 30000 or higher)?

A) 0.5000
B) 0.9641
C) 0.9861
D) 0.9772

What is the 86^th percentile for the starting salaries of individuals with an MBA degree?

A) $43,400
B) $46,400
C) $44,400
D) $45,400

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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