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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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