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Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below. a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample. assume=0.05. what are the null and alternative hypotheses? choose the correct answer below. b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Acompany that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. prior to buying the new equipment, the company used 6 workers, who produced an average of 79 carts per hour. workers receive $16 per hour, and machine coast was $49 per hour. with the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by four carts per hour. a) compute the multifactor productivity (mfp) (labor plus equipment) under the prior to buying the new equipment. the mfp (carts/$) = (round to 4 decimal places). b) compute the productivity changes between the prior to and after buying the new equipment. the productivity growth = % (round to 2 decimal places)

Read the following scenario and answer the question in 5-10 sentences. you are the owner of a small business that is a defendant in a lawsuit in federal court. you received bad news from your lawyer that the judge did not allow certain documents to be admitted as evidence in court and that the jury reached a $50,000 verdict in favor of the plaintiff. your lawyer tells you that it is within your legal right to hire him to file an appeal with the united states court of appeals. if the appellate court rules in your favor, you may be able to avoid paying part or all of the $50,000. evaluate your lawyer’s suggestion about appealing the decision.