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Records show that the performance of male college students in Mathematics in terms of final grade is 5% higher than in female college students with a corresponding standard deviations of 4.35% and 3.97%, respectively. A mathematics instructor verifies this information by having the final grades. There are 80 students, consisting of 44 females and 36 males. The following statistics are shown: Sex Male Average Final Grade 93.45% Female 87.42% Can the mathematics instructor say that the difference between the average final grades obtained by the males and females is higher than 5%? Use 5% level of significance.

Records show that the performance of male college students in Mathematics in terms of final grade is 5% higher than in female college students with a corresponding standard deviations of 4.35% and 3.97%, respectively. A mathematics instructor verifies this information by having the final grades. There are 80 students, consisting of 44 females and 36 males. The following statistics are shown: Sex Male Average Final Grade 93.45% Female 87.42% Can the mathematics instructor say that the difference between the average final grades obtained by the males and females is higher than 5%? Use 5% level of significance.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. Records show that the performance of male college students in Mathematics in terms of final grade is 5% higher than in female college students with a corresponding standard deviations of 4.35% and 3.97%, respectively. A mathematics instructor verifies this information by having the final grades. There are 80 students, consisting of 44 females and 36 males. The following statistics are shown: Sex Male Average Final Grade 93.45% 87.42% Female Can the mathematics instructor say that the difference between the average final grades obtained by the males and females is higher than 5%? Use 5% level of significance.
Transcribed Image Text:1. Records show that the performance of male college students in Mathematics in terms of final grade is 5% higher than in female college students with a corresponding standard deviations of 4.35% and 3.97%, respectively. A mathematics instructor verifies this information by having the final grades. There are 80 students, consisting of 44 females and 36 males. The following statistics are shown: Sex Male Average Final Grade 93.45% 87.42% Female Can the mathematics instructor say that the difference between the average final grades obtained by the males and females is higher than 5%? Use 5% level of significance.
4. Compute for the test statistic and compare with the critical value. 5. State the decision base on the resulting computed value when compared to the critical value.
Transcribed Image Text:4. Compute for the test statistic and compare with the critical value. 5. State the decision base on the resulting computed value when compared to the critical value.
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