A wrestling competition has eliminations each round. The table below shows the number of players in each of the first 5 rounds of the tournament: Round (x) 1 2 3 4 5

Players f(x) 64 32 16 8 4

Compute the average rate of change of f(x) from x = 1 to x = 5 and identify the meaning of that rate.

-15; on average there were 15 fewer wrestlers each round.
60; there were 60 fewer wrestlers between rounds 1 and 5.
-60; on average there were 60 fewer wrestlers each round.
4; there were 4 rounds between rounds 1 and 5.

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.