The manufacturer of Glo-More flat white interior latex paint claims one-coat coverage of 400 square feet per gallon on interior walls.

The manufacturer of Glo-More flat white interior latex paint claims one-coat coverage of 400 square feet per gallon on interior walls. A painter keeps careful track of 6 gallons and finds coverage( in square feet) of 360, 410, 380, 360, 390, 400. (a) Atα=.10 does this evidence contradict the claim? State your hypothesis and decision rule. (b) Is this conclusion sensitive to the choice of α? (c)Use Excel to find the p-value. Interpret it. (d) Discuss the distinction between importance and significance in this example.