The first-, second-, and third-year enrollment values for a technical school are shown in the table below. enrollment at a technical school year (x) first year f(x) second year s(x) third year t(x) 2009 785 756 756 2010 740 785 740 2011 690 710 781 2012 732 732 710 2013 781 755 800 which of the following statements is true based on the data in the table? a. the solution to f(x) = t(x) is x = 781. b. the solution to f(x) = t(x) is x = 2,011. c. the solution to s(x) = t(x) is x = 756. d. the solution to s(x) = t(x) is x = 2,009.

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)