1. Records show that the performance of male college students in Mathematics in termsof final grade is 5% higher than in female college students with a correspondingstandard deviations of 4.35% and 3.97%, respectively. A mathematics instructor verifiesthis information by having the final grades. There are 80 students, consisting of 44females and 36 males. The following statistics are shown:SexMaleAverage Final Grade93.45%87.42%FemaleCan the mathematics instructor say that the difference between the average final gradesobtained by the males and females is higher than 5%? Use 5% level of significance. 2. Determine the level of significance and the direction of test.3. Test Statistics:

Given : n1=44 n2=36 S1=4.35 S2=3.97

Answered: 2. Determine the level of significance…

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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You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 90% confident that the sample percentage is within 3.5 percentage points of the true population percentage. Complete parts (a) and (b) below.
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2. Determine the level of significance and the direction of test. 3. Test Statistics: