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4. A producer of a product claims that the product will increase output per machine by at least 29 units per hour. A manager installs the product on 15 of the machines and finds that the average increase was only 26 with a standard deviation of 6.2. [4 marks] a. What are the null and alternative hypotheses? b. What is your decision rule specied in terms of critical values of a frandom variable? Use 5% significance level. c. What is the value of the test-statistic