1. In a recent CPA Board Examination, 60 out of 80 students from St. Michaels College of Accountancy and 72 out of 98 students of St. Peters College of Accountancy passed. Are the students of St. Michaels better than the students of St. Peters? Use 5% level of significance.
1. In a recent CPA Board Examination, 60 out of 80 students from St. Michaels College of Accountancy and 72 out of 98 students of St. Peters College of Accountancy passed. Are the students of St. Michaels better than the students of St. Peters? Use 5% level of significance.
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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Transcribed Image Text:CTR 3- Activity
Solve the following problems following the sequential steps of hypothesis testing.
1. In a recent CPA Board Examination, 60 out of 80 students from St. Michaels
College of Accountancy and 72 out of 98 students of St. Peters College of
Accountancy passed. Are the students of St. Michaels better than the students
of St. Peters? Use 5% level of significance.
2. As part of an industrial training program, some trainees are instructed by
method 1, which is by teaching machines as well as some personal attention
by an instructor, and some are instructed as method 2, which is by straight
teaching machine instruction, and the following are the scores they obtained
on an appropriate achievement test:
71
Method 2 69
Method 1
81
79
83
76
75
84
90
83
78
75
72
69
67
74
70
66
76
72
Compare the effectiveness of the two methods at 5% level of significance.
3. A random sample of 400 adults are classified according to marital status and
drinking habits.
Drinking Habit
Single
Married
Widowed
Non-drinkers
29
74
18
Moderate drinkers
32
75
39
Heavy drinkers
55
61
17
Test the hypothesis that marital status is dependent on drinking habit. Use x =
0.05.
4. Three sections take the same high school mathematics course by three
teachers using the same syllabus. The final grades of a random of 15 students
from each section were recorded. Use analysis of variance at a = 0.05 to find
out if there is a significant difference in the average grades given by the 3
teachers:
Teacher A: 93, 88, 85, 84, 79, 76, 74, 74, 68, 65, 62, 60, 58, 48, 38
Teacher B: 96, 91, 85, 80, 78, 77, 75, 70, 68, 60, 56, 47, 38, 36, 33
Teacher C: 91, 87, 82, 80, 79, 69, 61, 61, 58, 48, 46, 43, 41, 38, 35
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