Two rectangular sheets of glass have equal perimeters. One has a length of 36 inches and a width w. The other has a length of 26 inches and a width 3w. The equation 2 open parentheses 26 plus 3 w close parentheses equals 2 open parentheses 36 plus w close parentheses models the relationship between the perimeters. What is the width in inches of the first sheet, w? Record your answer in the box.

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.