5. Refer to Problem 10 of Section 8.4. Two different brands of an all-purpose joint compound are used in residential construction, and their drying time, in hours, are recorded. Sixteen specimens for each were selected. Recorded drying times are as shown below.

Brand I 11.19 10.22 10.29 11.11 10.08 10.14 10.60 10.08 11.28 11.98 11.22 11.97 10.47 10.79 11.98 10.03 Brand II 12.10 13.91 13.32 13.58 12.04 12.00 13.05 13.70 12.84 13.85 13.40 12.48 13.39 13.61 12.37 12.08 Assume that the drying times of two brands are normally distributed with known variances of 0.5. Test at the 5% level of significance the hypothesis H0: μI

− μII =

0 versus H1: μI

− μII

= 0. Find the p-value.