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Note: Given that SAT scores are reported as whole numbers round off your answer for X to a whole number. The z-values found using Excel are rounded off to the thousandths place, which is three decimal places to the right of the decimal point. When using the Area Under the Curve table, z-values are reported with two digit places passed the decimal point. Using Excel or the Table, the value for X should be very close. The values found using Excel are more precise. 1. What SAT score do you need to be among the top 0.5 percent? X z-value 1,025 1,025 z= NORM.S.INV(?) zw/Excel Area Under the Curve Table 100 100 2. What SAT score do you need to be among the top 2.5 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table Z-value 1,025 1,025 100 100 3. What z-value is the cut-off point for the bottom 10 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table X z-value σ 1,025 1,025 100 100 4. What z-value is the cut-off point for the bottom 1 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table X z-value 1,025 1,025 100 100

Note: Given that SAT scores are reported as whole numbers round off your answer for X to a whole number. The z-values found using Excel are rounded off to the thousandths place, which is three decimal places to the right of the decimal point. When using the Area Under the Curve table, z-values are reported with two digit places passed the decimal point. Using Excel or the Table, the value for X should be very close. The values found using Excel are more precise. 1. What SAT score do you need to be among the top 0.5 percent? X z-value 1,025 1,025 z= NORM.S.INV(?) zw/Excel Area Under the Curve Table 100 100 2. What SAT score do you need to be among the top 2.5 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table Z-value 1,025 1,025 100 100 3. What z-value is the cut-off point for the bottom 10 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table X z-value σ 1,025 1,025 100 100 4. What z-value is the cut-off point for the bottom 1 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table X z-value 1,025 1,025 100 100

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Curve Table. Population Mean, µ, = 1,025 | Population Standard Deviation, o, 100 X = µ + zo You can find the z-values using either of the two z-values tables or by using the formula found in the assignment and on the Excel file 09_SolvingforX.xlsx. The Excel function for finding the preproperate z-value is: = NORM.S.INV(Probability) When using Excel, please noted that the Area on the Curve starts from the left of the curve. Excel finds the z- value differently that the Area Under the Curve table. The Area Under the Curve table starts and the mean, which is the center of the curve. And, it only covers the right side of the normal curve, which means that all z- values on this table are positive. But, because the normal curve is symmetrical, z-values on the left side of the curve will be negalive. The probabilities, however, are always positive. So, the z-value for the lowest 1% will be -2.33 (using the Area Under the Curve Table) and 2.33 for the highest 1%. To find the z-value for the lowest 1%, the formula for Excel would be =NORM.S.INC(0.01) while the formula for the top 1% would be =NORM.S.INV(0.99). Note: Given that SAT scores are reported as whole numbers round off your answer for X to a whole number. The z-values found using Excel are rounded off to the thousandths place, which is three decimal places to the right of the decimal point. When using the Area Under the Curve table, z-values are reported with two digit places passed the decimal point. Using Excel or the Table, the value for X should be very close. The values found using Excel are more precise. 1. What SAT score do you need to be among the top 0.5 percent? z= NORM.S.INV(?) zw/Excel Area Under the Curve Table Z-value 100 1,025 1,025 100 2. What SAT score do you need to be among the top 2.5 percent? z= NORM.S.INV(?). zw/Excel Area Under the Curve Table X z-value 100 1,025 1,025 100 3. What z-value is the cut-off point for the bottom 10 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table Z-value 1,025 1,025 100 100 4. What z-value is the cut-off point for the bottom 1 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table X Z-value 100 1,025 1,025 100 O Focus E -- * Accessibility: Investigate
Transcribed Image Text:Curve Table. Population Mean, µ, = 1,025 | Population Standard Deviation, o, 100 X = µ + zo You can find the z-values using either of the two z-values tables or by using the formula found in the assignment and on the Excel file 09_SolvingforX.xlsx. The Excel function for finding the preproperate z-value is: = NORM.S.INV(Probability) When using Excel, please noted that the Area on the Curve starts from the left of the curve. Excel finds the z- value differently that the Area Under the Curve table. The Area Under the Curve table starts and the mean, which is the center of the curve. And, it only covers the right side of the normal curve, which means that all z- values on this table are positive. But, because the normal curve is symmetrical, z-values on the left side of the curve will be negalive. The probabilities, however, are always positive. So, the z-value for the lowest 1% will be -2.33 (using the Area Under the Curve Table) and 2.33 for the highest 1%. To find the z-value for the lowest 1%, the formula for Excel would be =NORM.S.INC(0.01) while the formula for the top 1% would be =NORM.S.INV(0.99). Note: Given that SAT scores are reported as whole numbers round off your answer for X to a whole number. The z-values found using Excel are rounded off to the thousandths place, which is three decimal places to the right of the decimal point. When using the Area Under the Curve table, z-values are reported with two digit places passed the decimal point. Using Excel or the Table, the value for X should be very close. The values found using Excel are more precise. 1. What SAT score do you need to be among the top 0.5 percent? z= NORM.S.INV(?) zw/Excel Area Under the Curve Table Z-value 100 1,025 1,025 100 2. What SAT score do you need to be among the top 2.5 percent? z= NORM.S.INV(?). zw/Excel Area Under the Curve Table X z-value 100 1,025 1,025 100 3. What z-value is the cut-off point for the bottom 10 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table Z-value 1,025 1,025 100 100 4. What z-value is the cut-off point for the bottom 1 percent? z = NORM.S.INV(?) zw/Excel Area Under the Curve Table X Z-value 100 1,025 1,025 100 O Focus E -- * Accessibility: Investigate
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