SY 2019 - 2020 - Second Semester
Business Statistics
Final Exam
1. Group the following test scores with an interval of 3 and find the group mean.
13 11 10 9 8 6 4
12 11 10 9 7 6 3
12 11 10 8 7 5 3
12 10 9 8 7 5 2
11 10 9 8 6 4 1
2. The administration of a short statistics test resulted in the following scores. Calculate the mean and standard deviation of the scores.
44 37 30 28 22
42 36 30 27 20
40 35 30 27 18
38 34 29 26 16
38 32 28 24 10
3. Below are the scores of a sample of 130 students on the Minnipota Paper Form Board Test (use Z-test).
60 - 62 2
57 - 59 4
54 - 56 8
51 - 53 10
48 - 50 18
45 - 47 16
42 - 44 14
39 - 41 14
36 - 38 10
33 - 35 18
30 - 32 14
27 - 29 2
N = 130
X-bar (Mean) = 42.8
s (SD) = 8.2
a. Assume a normal population and determine what percent of cases you would expect to find between the mean and the following scores in similar samples: 60, 38, 28.
b. Find the percentage and number of cases expected to fall between the following pairs of scores: 35 and 45, 50 and 55, 56 and 60.
c. How many cases would expect to find above a raw score of 50? Below a score of 35?
4. Is there a significant difference in the response of the two groups to certain questions?
Strongly No Strongly
Disagree Disagree Option Agree Agree
Northern
Students 30 60 10 68 32
Southern
Students 60 80 12 38 40
Required: Use the Chi-square test to test the significant difference.
5. Answer the following:
- What do you mean the type I and type II error?
- What are steps of Hypothesis testing?
- What and how to undergo t-test and Z-test analysis?
Submit through my e- mail at djc22065@yahoo.com