# Engineering Statistics Final Exam Review EST 201

Shown below are exercises for review on Stat EST 201. Similar type of problems will be coming out of our coming final exam. All are required to have their own calculator. No borrowing of calculators is allowed.

REVIEW FINAL EXAM ENGINEERING EST 201
Shown below are exercises for review on Stat 201. Similar type of problems will be coming out of our coming final exam. All are required to have their own calculator. No borrowing of calculators is allowed.
1. Below are two samples independent data in one of the experiments.
Sample A Sample B
3 6
4 4
7 8
6 4
4 3
Assume the conditions between the two groups are identical in every respect except Sample A used method A and Sample B used the method B during experiments. Compute the t-value assuming the two samples have
a) equal variance or homoscedastic
b) unequal variance or heterscedastic
2. Records show that once the Engineering students are already in the fourth year stage, 90 % will successfully complete the course. If in a year, 14 students commenced the course, calculate the probability that
a) All 14 successfully completed the course
b) Only 1 student fails to complete the course
c) At least 2 students fail to complete the course
3. From a box containing 4 red balls, 6 white balls, and 8 blue balls, one ball is drawn at random. Determine the probability that the ball drawn is
a) red
b) Not red
c) White
d) Red or white

4. The probability that a football team playing at hometown will win a match is ¾. Calculate the probability that in their next 7 matches the team will win 3 games.
5. If the probability that a missile will hit the campus is 3/5, find the probability of
a) exactly 4 hits out of 6 tries b) Exactly 8 hits out of 12 tries

6. The probability of a student got a failing grade on a particular course due to A) absences is 1/15 B) cheating during quizzes is 1/30 and C) no final exam is 1/50. Determine the probabilities that in a particular course a student failed due to;
a) absences and cheating
b) Cheating or no final exam
c) Will not fail because of both absences and no final exam

7. A committee of 3 boys and 4 girls is to be selected from 6 boys and 6 girls. How many possible committees are there?
8. Compute the sample standard deviation of the following data:
8 7 9 10 14 12

9. Compute the standard deviation of the following grouped data;

Class frequency, f
1-5 2
6-10 5
11-15 2
16-20 1
a) using deviation formula b) computational formula
10. Three groups of university students consisting of 15, 20, and 10 individuals, reported mean heights of 1.5, 1.4, and 1.8 meters respectively. Find the mean height of all students.
11. A teacher wants to test if calculator helps students reduce error. She has 10 student participants and records the error with and without calculator. Just compute the t-test value.
6 6 0
9 6 3
9 7 2
10 6 4
9 7 2
6 5 1
7 5 2
5 4 1
7 4 3
5 6 -1

12. Below were the recorded football scores of the 3 exhibition games. Using ANOVA if the degree of freedoms between groups is 2 and within groups is 6, determine the F-test value.
A B C
3 1 2
2 4 1
1 2 3