Question

3. Consider two data set obtained from two forensic laboratories, using t-test to justify whether the two results is statistically different?

Montgomery lab: 3.76, 3.90, 3.74, 3.86, 3.79, 3.82, 3.88, 3.82

Atlanta lab: 3.49, 3.85, 3.54, 3.63, 3.60

Answer 1

Ans. Conduct un-paired t-test for the given data.

Null hypothesis: There is no difference between results of the two labs.

Alternate hypothesis: Difference occurs between the two labs.

The p-value of t-test (unpaired) for the given data = 0.0075.

The calculated p-value is smaller than 0.05 (at 95% CI).

Thus, reject null hypothesis.

Therefore, the results obtained from two labs are statistically different.