Mr. Howard, the manager of a grocery store, gets a complaint from a customer: “Mr. Howard, when I check out I want the fastest register. Too often I am in a line where there is some sort of problem and I have to wait and wait and wait … I think I am going to stop coming here!” You suggest to Mr. Howard that he tries a different strategy from his current one where a customer chooses from multiple registers (STRATEGY 2). You suggest that he sets up the store so that the customer will enter one single line and then break off at the end to the next available cash register (STRATEGY 1). Below are a sample of waiting times (in minutes) that you collected for the two methods. You have agreed to help Mr. Howard analyze the data. STRATEGY 1 (SL): Single line/multiple registers (new strategy): 6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7 STRATEGY 2 (ML): Multiple lines/multiple registers (current strategy): 4.2, 5.4, 5.8, 6.2, 6.7, 7.7, 7.7, 8.5, 9.3, 10.0 a) For each strategy, find the 5-number summary and construct box-plots. Compare the distribution for each strategy using several sentences. B) Compute the sample mean, median and mode for each strategy. Using these values, which strategy appears to be more effective? Explain using several complete sentences. C) Compute the range and sample standard deviation (two decimal places) for each strategy. Using these values, which strategy appears to be more effective? Explain using several complete sentences. D) Using your results, which strategy would you recommend to Mr. Howard? Explain using several complete sentences.

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Mr. Howard, the manager of a grocery store, gets a complaint from a customer: “Mr. Howard, when I check out I want the fastest register. Too often I am in a line where there is some sort of problem and I have to wait and wait and wait … I think I am going to stop coming here!” You suggest to Mr. Howard that he tries a different strategy from his current one where a customer chooses from multiple registers (STRATEGY 2). You suggest that he sets up the store so that the customer will enter one single line and then break off at the end to the next available cash register (STRATEGY 1). Below are a sample of waiting times (in minutes) that you collected for the two methods. You have agreed to help Mr. Howard analyze the data. STRATEGY 1 (SL): Single line/multiple registers (new strategy): 6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7 STRATEGY 2 (ML): Multiple lines/multiple registers (current strategy): 4.2, 5.4, 5.8, 6.2, 6.7, 7.7, 7.7, 8.5, 9.3, 10.0 a) For each strategy, find the 5-number summary and construct box-plots. Compare the distribution for each strategy using several sentences. B) Compute the sample mean, median and mode for each strategy. Using these values, which strategy appears to be more effective? Explain using several complete sentences. C) Compute the range and sample standard deviation (two decimal places) for each strategy. Using these values, which strategy appears to be more effective? Explain using several complete sentences. D) Using your results, which strategy would you recommend to Mr. Howard? Explain using several complete sentences.
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