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: Average Final Grade 93.45% Sex Male 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. Solution: 1. State the null and the alternative hypotheses of the given problem.
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: Average Final Grade 93.45% Sex Male 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. Solution: 1. State the null and the alternative hypotheses of the given problem.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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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
Female
Average Final Grade
93.45%
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.
Solution:
1. State the null and the alternative hypotheses of the given problem.
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