The probability that a randomly selected sociology major received a starting salary offer less than $48,600 is The probability that a randomly selected sociology major received a starting salary offer between $42,000 and $48,600 is (Hint: The standard normal distribution is perfectly symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore, the area under the curve between the mean and a z-score is computed by subtracting the area to the left (or right) of the z-score from 0.5.) What percentage of sociology majors received a starting offer between $36,000 and $42,000? 33.39% 66.61% 2.87% 97.13% Twenty percent of sociology majors were offered a starting salary less than

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
Assume that X, the starting salary offer for sociology majors, is normally distributed with a mean of $43,256 and a standard deviation of $3,150.
Use the following Distributions tool to help you answer the questions. (Note: To begin, click on the button in the lower left hand corner of the tool that
displays the distribution and a single orange line.)
Standard Normal Distribution
Mean -0.0
Standard Deviation - 1.0
^^
-3
The probability that a randomly selected sociology major received a starting salary offer less than $48,600 is
33.39%
-2
O 66.61%
What percentage of sociology majors received a starting offer between $36,000 and $42,000?
2.87%
0
The probability that a randomly selected sociology major received a starting salary offer between $42,000 and $48,600 is
97.13%
(Hint: The standard normal distribution is perfectly symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5.
Therefore, the area under the curve between the mean and a 2-score is computed by subtracting the area to the left (or right) of the z-score from
0.5.)
2
Twenty percent of sociology majors were offered a starting salary less than
4
2
Transcribed Image Text:Assume that X, the starting salary offer for sociology majors, is normally distributed with a mean of $43,256 and a standard deviation of $3,150. Use the following Distributions tool to help you answer the questions. (Note: To begin, click on the button in the lower left hand corner of the tool that displays the distribution and a single orange line.) Standard Normal Distribution Mean -0.0 Standard Deviation - 1.0 ^^ -3 The probability that a randomly selected sociology major received a starting salary offer less than $48,600 is 33.39% -2 O 66.61% What percentage of sociology majors received a starting offer between $36,000 and $42,000? 2.87% 0 The probability that a randomly selected sociology major received a starting salary offer between $42,000 and $48,600 is 97.13% (Hint: The standard normal distribution is perfectly symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore, the area under the curve between the mean and a 2-score is computed by subtracting the area to the left (or right) of the z-score from 0.5.) 2 Twenty percent of sociology majors were offered a starting salary less than 4 2
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