A deck company wants to build uniquely shaped decks. How many square feet of wood would the company need to cover the
deck designed below shaped like a regular pentagon and a
trapezoid? The height of the trapezoid is 4.5 ft. Round your
answer to one decimal place.
Hint: To find the area of the pentagon, divide it into 5 similar
triangles. Use the fact that the radius of the pentagon (the
distance from each vertex to the center) is 4.25 ft.

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.