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MAT-1580 Written Assignment 9. Sections 9.1-9.4 1. (3 pts) In an experiment used to test the hardness reading associated with two tips of a machine that presses a rod with a pointed tip in a manufacturing process, pair samples of hardness readings for the two tips are paired according to the metal rod that is pressed (each rod is pressed with each tip once). Ten metal rods are pressed and the table below summarizes the results: 00 in N N N + Test the hypothesis for the mean difference in hardnesses given by Ho:Ha = 0 at the 10% significance level where ud is the true mean d difference in hardness reading over all possible specimens. 158 2. (3 pts ) Let n1 = 36, n2= 41, x1 = 11.6, x2 = 10.4, s1 = 1.8 and $2 = 2.6. 2 At the a =.05 significance level, do the populations have equal means? 3. (4 pts) Two types of medication for hives are being tested to determine if there is a difference in the percentage of adult patient reactions. Twenty out of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. Twelve out of another random sample of 200 adults given medication B still had hives 30 minutes after taking the medication. Test at a 1% level of significance