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Teacher’s Salary The average teacher’s salary in a particular state is . If the standard deviation is , 260 , find
the salaries corresponding to the following scores.
Part:
Part 1 of 5
The salary corresponding to is

Ask by Brewer Summers. in the United States
Jan 23,2025

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The salary corresponding to is $74,669.

Solución

To find the salary corresponding to a -score of 2, you can use the formula:
Where:
  • (mu) is the mean salary.
  • (sigma) is the standard deviation.
  • is the z-score.
Given:
  • Mean salary ( ) = $54,149
  • Standard deviation ( ) = $10,260
  • -score = 2
Plugging in the values:
The salary corresponding to is $74,669.

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The Deep Dive

To find the salary corresponding to , we can use the formula for the z-score, which is:
Where:
  • is the value we want to find (the salary),
  • is the mean (average teacher’s salary),
  • is the standard deviation.
Rearranging the formula gives us:
Substituting in the values:
Calculating this, we get:
So the salary corresponding to is .

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