Synthetic fibers (such as rayon, nylon, and polyester) account for approximately 70% of all fibers used by American mills in their production of textile products. An experiment was conducted to compare the breaking tenacity of synthetic fibers produced using two methods of spinning: wet spinning and dry spinning. Specimens of 10 different synthetic fibers were selected, and each was split into two filaments. One filament was processed using the wet spinning method, and the other using the dry spinning method; the breaking tenacity (grams per denier) of each filament was then measured. Do the data shown in the table provide sufficient evidence to indicate a difference in the breaking tenacity of synthetic fibers produced by the two methods? Test using α = α = .05.

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SYNFIBER Fiber Dry Spinning Wet Spinning Acetate 1.3 1.0 Асrylic 2.7 2.5 Aramid 4.8 4.7 Modacrylic 2.6 2.8 Nylon 4.5 4.2 Olefin 5.9 5.8 Polyester 4.5 4.3 Rayon 1.6 1.1 Spandex .7 .9 Triacetate 1.3 .9