Manufacturing and Product Development The Wood Flooring Manufacturers Association claims a new product restores a high-gloss finish to old wood floors. A gloss meter is used to measure the shine of a wood floor, and a high gloss finish should have a rating of at least 80 units. To check the manufacturer's claim, the sealer and finish were applied to 35 randomly selected wood floors and the gloss was measured after each application dried. The sample mean gloss was x‾ = 78.6.
Assume σ = 3.45. Is there any evidence to suggest that the manufacturer's claim is false? Use a 5 0.01 and compute the p value to draw a conclusion.