Aman who moves to a new city sees that there are two routes he could take to work. a neighbor who has lived there a long time he tells him route a will average 5 minutes faster than route b. the man decides to experiment. each day he flips a coin to determine which way to go, driving each route 10 days. he finds that route a takes an average of 49 minutes, with standard deviation 2 minutes, and route b takes an average of 50 minutes, with standard deviation 4 minutes. histograms of travel times for the routes are roughly symmetric and show no outliers. (alpha =0.05)

find a 95% confidence interval for the difference between the route b and route a commuting times. ( , )

Type the correct answer in the box. consider the system of linear equations below. rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants, so that the sum of the new equation and the unchanged equation from the original system results in an equation in one variable.

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.

What is the distance from (–3, 1) to (–1, 5)? round your answer to the nearest hundredth. (4 points) a. 3.60 b. 4.12 c. 4.47 d. 5.66