You are given the following set of observations:  41, 29, 38, 19, 22, 34, 50, 42, 40, 44.  What is the value of the IQR?

The mean work week for engineers in a start-up company is believed to be about 62 hours. A newly hired engineer hopes that it's shorter. She asks 8 engineering friends in start-ups for the lengths of their mean work weeks. Their responses are 50,51,45,51,56,64,66,63 n = . s = || 18

Give two sets of five numbers that have the same mean but different standard deviations. Set 1: 4, 6, 7, 8, 15Set 2: 3, 6, 7, 10, 14Set 1: 2, 4, 6, 8, 10Set 2: 3, 4, 5, 7, 11Set 1: 3, 4, 6, 9, 13Set 2: 2, 5, 7, 8, 13Set 1: 4, 5, 7, 8, 11Set 2: 3, 6, 7, 9, 10Set 1: 2, 3, 7, 11, 12Set 2: 5, 6, 7, 8, 9 Give two sets of five numbers that have the same standard deviation but different means. Set1: 2, 5, 6, 10, 12Set2: 5, 6, 7, 10, 12Set1: 2, 3, 5, 7, 8Set2: 4, 6, 7, 11, 12Set 1: 2, 3, 4, 5, 6Set 2: 4, 5, 6, 7, 8Set1: 2, 5, 7, 12, 14Set2: 5, 6, 7, 8, 9Set1: 4, 5, 6, 12, 13Set2: 4, 5, 7, 9, 10

Twelve inmates in a particular prison took part in an anger management class. Before it began, the median score on an anger control assessment of the group was 42 (out of a maximum of 60). After the six month class, the participants scores on the same assessment were 35, 41, 40, 44, 57, 36, 39, 47, 58, 39, 42, 39.   1. Construct a boxplot of the data and explain briefly why a sign test is appropriate to use in this case