Josephina lives on the same street as her school, so each morning she walks in a straight line down the street until she reaches her school. Yesterday, she walked 37 feet towards the school when she thought that she had forgotten her lunch. She turned around and walked eight feet back towards her house when she realized she DID have her lunch after all. She turned around and walked 39 feet to her school. Draw a diagram of Josephina’s walking pattern. How far is Josephina’s house from the school? Explain how you know.

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.)