Acylinder and a cone start with the same radius and height. the radius of the cone is then tripled, and the height of the cone is cut in half. the radius of the cylinder stays the same, but the height of the cylinder is doubled. which change produces a greater increase in volume (i. e., which figure’s volume increases by a larger factor)? justify your answer. write “pi” for ^ and “r^2” for r squared

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.)