Pittsburgh Paints wishes to test an additive formulated to increase the life of paints used in the hot and arid conditions of the Southwest. The top half of a piece of wood was painted using the regular paint. The bottom half was painted with the paint including the additive. The same procedure was followed for a total of 10 pieces. Then each piece was subjected to brilliant light. The data, the number of hours each piece lasted before it faded beyond a certain point, follow:

Using the .05 significance level, determine whether the additive is effective in prolonging the life of the paint.
(a) The null and the alternate hypotheses,
(b) The decision rule, and
(c) The decision regarding the null hypothesis,
(d) Then interpret theresult.

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Number of Hours by Sample A BGDEF G H J Without additive 325 313 320 340 318 312 319 330 333 319 With additive 323 313 326 343 310 320 313 340 330 315