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?

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X?

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Exercise 1: Solving for X

In 2021, the average SAT score for students in the freshman class of Nunya Business College was 1025 with a standard deviation of 100. Solve for X using z-values obtained from Microsoft Excel and the Area Under the Curve Table.

Population Mean,?, = 1,025

Population Standard Deviation, ?,100

X =? + z?

1. What SAT score do you need to be among the top 0.5 percent?

X	?	z-value	?	z = NORM.S.INV(?)
	1,025		100	z w/Excel
	1,064		100	Area Under the Curve Table

2. What SAT score do you need to be among the top 2.5 percent?

X	?	z-value	?	z = NORM.S.INV(?)
	1,025		100	z w/Excel
	1,064		100	Area Under the Curve Table

3. What z-value is the cut-off point for the bottom 10 percent?

X	?	z-value	?	z = NORM.S.INV(?)
	1,025		100	z w/Excel
	1,064		100	Area Under the Curve Table

4. What z-value is the cut-off point for the bottom 1 percent?

X	?	z-value	?	z = NORM.S.INV(?)
	1,025		100	z w/Excel
	1,064		100	Area Under the Curve Table

Exercise 2: Finding the Area Under the Curve

In Major League Baseball, the average fastball pitch is 91 miles per hour, ? = 91, with a standard deviation of 2 miles per hour, ? = 2.

\f- PLz