Two suppliers manufacture a plastic gear used in a laser printer. the impact strength of these gears measured in foot-pounds is an important characteristic. a random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12, while another random sample of 16 gears from the second supplier results in x2 = 321 and s2 = 22.(a) is there evidence to support the clain that supplier 2 provides gears with higher mean impact strength? use α = 0.05, and assume that both populations are normally distributed but the variances are not equal. what is the p-value for this test? (b) do the data support the claim that the mean impact strength of gears from supplier 2 is at least 25 foot - pounds higher than that of supplier 1? make the same assumptions as in part () construct a confidence interval estimate for the difference in mean impact strength, and explain how this interval could be used to answer the question posed regarding supplier-to-supplier differences. show all work and correct answers .