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Chau is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance for the employees of

Chau is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance for the employees of the company: Unlimited and Traditional. Chau wants to determine, for workers in the tech industry, if the yearly mean number of vacation days taken by workers with an Unlimited plan is greater than the yearly mean number of vacation days taken by workers with a Traditional plan. Chau surveys a random sample of workers who have the Unlimited plan and a random sample of workers who have the Traditional plan. (These samples are chosen independently.) For each worker, he records the number of vacation days taken last year. These data are shown in the table. Question table Vacation days taken Unlimited25;17;8;7;23;8;16;17;9;24;20;8;16;10;11;18;11 Traditional 10;9;10;12;8;9;9;13;9;9;11;11;11;8;7;12 Assume that the two populations of vacation days taken are approximately normally distributed. Can Chau conclude, at the level of significance, that the population mean of the yearly number of vacation days taken by workers with an Unlimited plan is greater than

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