King Fahd University of Petroleum & Minerals
Mathematical Sciences
Stat319-Term033
Quiz #5 Sections: 3
& 4
Name:
ID Serial:
A materials researcher wishes to use the following sample
curing-time data to compare two methods for applying an adhesive;
Method A |
14 |
16 |
13 |
15 |
16 |
13 |
14 |
14 |
15 |
11 |
Method B |
8 |
9 |
12 |
6 |
7 |
7 |
10 |
5 |
14 |
10 |
Given that;
1. What is the least sample size
needed for constructing a CI for the mean of method A, with a precision of 0.95
and a reliability of 0.98?
Solution:
2. Construct a 98% CI for the
difference between the two method means. Assume normal populations with equal
variances.
Solution:
A 98% C.I for is:
3. Construct a 98% CI for the
standard deviation of method B. State necessary assumptions.
Solution:
A 98% C.I. for is:
Assumptions: The population is normally
distributed