The height of the Qutub Minar is 230 metres. It is planned that a stairway from the ground to the top of the Minar would be made by arranging cube shaped boulders in a step like fashion. A man first places a boulder on the ground. He then steps on to it, and then throws one boulder down such that it touches the side of the previous bolder, and then places one over the new one. He then climbs onto the last boulder thus placed and continues to do the same to create steps right to the top, with each of his step being 1 metre. If each boulder measures 1 cubic metre, how many boulders are required in all?

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.)