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2. Suppose you're tasked with estimating the effect of a training program intended to boost the productivity of workers at a large factory, and that it isn't clear whether the program would boost productivity or lower it. Before the introduction of the training program, workers were producing 30 widgets per day on average. After its introduction, you take a random sample of 50 workers to evaluate to the program. The factory manager wants to know whether any observed difference is likely to be real, or just due to the sample of workers taken. a. What would the null and alternative hypotheses be in this scenario? b. Is the alternative hypothesis one-sided or two-sided? 0. Suppose that the average number of widgets produced per day per worker in the sample is 33. Also suppose that the population standard deviation of widgets produced per day per worker is 8. What formula would you use to test the alternative hypothesis against the null? d. Calculate the test statistic and determine the p-value. e. Suppose you've chosen a significance level of .05. Can you reject the null hypothesis in favor of the alternative hypothesis? r. What do you conclude about the effectiveness of the training program