Eric 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. Eric wants to determine, for workers in the tech industry, if the yearly mean number lg 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. 00 Eric surveys a random sample of 17 workers who have the Unlimited plan and a random sample of 15 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. Vacation days taken Unlimited l4, 16, 23, 15, 15, 9, 15, l8, I7, 28, 25, 24, i9, 12, 28, 22, 22 Traditional l9, 16,15,19, 20, 22,18, l9, l7, l9, [6,14,14,14,]9 Send data to calculator v2": IIISend data to Excel Assume that the two populations of vacation days taken are approximately normally distributed. Can Eric conclude, at the 0.10 level of significance, that the population mean of the yearly number of vacation days taken by workers with an Unlimited plan is greater than the population mean of the yearly number of vacation days taken by workers with a Traditional plan? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternate hypothesis HI. L1 0 ,0 H0 :1] _ A x S p H] : I] D El D DD 5 0:) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) Chen El I:I