The town librarian bought a combination of new-release movies on dvd for $20 and classic movies on dvd for $8. let x
represent the number of new releases, and let y represent the number of classics. if the librarian had a budget of $500 and
wanted to purchase as many dvds as possible, which values of x and y could represent the number of new-release and
classic movies bought?
x = 8, y = 45
x = 10, y = 22
x = 16, y = 22
x = 18, y = 18

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.