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A paint manufacturer made a modification to a paint to speed up its drying time. Independent simple random samples of 11 cans of type A (the original paint) and 9 cans of type B (the modified paint) were selected and applied to similar surfaces. The drying times, in hours, were recorded. The summary statistics are as follows.

Type A Type B
Sample-1 Sample-2
x1 = 76.3 hrs x2 = 65.1 hrs
s1 = 4.5 hrs s2 = 5.1 hrs
n1 = 11 n2 = 9

Construct a 98% confidence interval for μ1 - μ2, the difference between the mean drying time for paint cans of type A and the mean drying time for paint cans of type B:

4.90 hours < μ1 - μ2 < 17.50 hours
- 4.30 hours < μ1 - μ2 < 7.582hours
3.86 hours < μ1 - μ2 < 10.48 hours
5.60 hours < μ1 - μ2 < 18.50 hours

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