Assume that X, the starting salary offer for anthropology majors, is normally distributed with a mean of $39,269 and a standard deviation of $2,550. 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 69.37% -2 0.94% -1 30.63% .5000 99.06% .5000 0 0.0000 The probability that a randomly selected anthropology major received a starting salary offer less than $38,000 is 1 What percentage of anthropology majors received a starting offer between $32,000 and $38,000? 2 The probability that a randomly selected anthropology major received a starting salary offer between $38,000 and $41,950 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.) 3 Twenty percent of anthropology majors were offered a starting salary greater than 4 N

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9. Probability computations using the standard normal distribution
Assume that X, the starting salary offer for anthropology majors, is normally distributed with a mean of $39,269 and a standard deviation of
$2,550.
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
O 69.37%
-2
O 0.94%
-1
30.63%
.5000
O 99.06%
.5000
0
0.0000
The probability that a randomly selected anthropology major received a starting salary offer less than $38,000 is
1
What percentage of anthropology majors received a starting offer between $32,000 and $38,000?
2
The probability that a randomly selected anthropology major received a starting salary offer between $38,000 and $41,950 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.)
3
Twenty percent of anthropology majors were offered a starting salary greater than
4
Z
Transcribed Image Text:9. Probability computations using the standard normal distribution Assume that X, the starting salary offer for anthropology majors, is normally distributed with a mean of $39,269 and a standard deviation of $2,550. 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 O 69.37% -2 O 0.94% -1 30.63% .5000 O 99.06% .5000 0 0.0000 The probability that a randomly selected anthropology major received a starting salary offer less than $38,000 is 1 What percentage of anthropology majors received a starting offer between $32,000 and $38,000? 2 The probability that a randomly selected anthropology major received a starting salary offer between $38,000 and $41,950 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.) 3 Twenty percent of anthropology majors were offered a starting salary greater than 4 Z
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