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Apply hypothesis testing on each problem. Show the five-step procedure, use excel or phstat for the solution. I. A company selling machinery to a manufacturing plant claims that a more sophisticated machine has been developed. This new machine will exceed the output of the old type of machines. The plant manager, doubling the claim of the supplier, installs one of the new machines and runs it along with the old ones of 10 consecutive days. The results are Follows Average output of old machine 10 9 9 12 11 10 13 11 12 Average output of new machine 12 10 14 16 15 11 12 13 17 16 Is there sufficient evidence to support the claim of the supplier of machines? Use a = 0.01 2. The school head of a certain university wants to study the Business Administration students' online computer usage (in hours) in two computer laboratories, Six BA students are randomly selected and asked about the number of hours they use the computers in each laboratory. Is there evidence of any differences in the computer usage of the two laboratories at 5%% level of significance? Assume that computer usage is approximately normally distributed