12. Multistep Main Street and Washington Avenue meet at a right angle. A
large park begins at this corner. Joe's school lies at the opposite corner of
the park. Usually Joe walks 1.2 miles along Main Street and then 0.9 miles
up Washington Avenue to get to school. Today he walked in a straight
path across the park and returned home along the same path. What is the
difference in distance between the two round trips? Explain.

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.)