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 Bx1 = 76.3 hrs x2 = 65.1 hrss1 = 4.5 hrs s2 = 5.1 hrsn1 = 11 n2 = 9The following 98% confidence interval was obtained 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 hrs < μ1 - μ2 < 17.50 hrsWhat does the confidence interval suggest about the population means?

Modification to the paint speeds up its drying time.

Step-by-step explanation:

Consider the provided information.

If there is "zero" in the confidence interval for the difference between the parameters, then it cannot be said that the two population means are different.

Consider the Type A: the original paint and Type B: the modified paint.

The 98% confidence interval for the difference between the mean drying time for paint cans of type A and the mean drying time for paint cans of type is:

4.90 < μ₁ - μ₂ < 17.50

The confidence interval has positive values it means that the population mean for the Type 1 (Original paint) is more than the population mean for Type 2 (Modified paint).

Hence, it can be concluded that modification to the paint speeds up its drying time.