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A group of students with normally distributed salaries earn an average of 6800 with a standard deviation of $2500. Find the cutoff for the salary that corresponds to the lower 25% of all salaries

Sagot :

Answer: $5115

Step-by-step explanation:

The following information can be gotten from the question:

Mean = 6800

Standard deviation = 2500

We will then find the Z score of the 25th percentile which will be -0.674.

Therefore, the cutoff for the salary that corresponds to the lower 25% of all salaries will be:

= 6800 - 0.674 × 2500

= 6800 - 1685

= 5115

The cutoff is $5115

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