Suppose that the universe for x and y is {1, 2, 3}. also, assume that p(x, y) is a predicate that istrue in the following cases, and false otherwise: p(1, 3), p(2, 1), p(2, 2), p(3, 1), p(3, 2), p(3, 3). determine
whether each of the following is true or false:
(a) ∀y∃x (x=y ∧ p(x,
(b) ∀x∃y (x=y ∧ ¬p(x, y))
(c) ∀y∃x (x=y ∧ ¬p(x, y))

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.