c&d] Instruction: Solve the following problem: 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 Average Final Grade Male 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. c. Test Statistics: d. Compute for the test statistic and compare with the critical

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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[c&d] Instruction: Solve the following 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:

 

Sex

Average Final Grade

Male

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.

c. Test Statistics:

d. Compute for the test statistic and compare with the critical value.

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