1. For the following random sample values, construct a 95% con?dence interval for the population medianM:
7.2 5.7 4.9 6.2 8.5 2.7 5.9 6.0 8.2
2. The following data represent a random sample of end-of-year bonuses for the lower-level managerial personnel employed by a large ?rm. Bonuses are expressed in percentage of yearly salary.
6.2 9.2 8.0 7.7 8.4 9.1 7.4 6.7 8.6 6.9
8.9 10.0 9.4 8.8 12.0 9.9 11.7 9.8 3.2 4.6
Construct a 98% con?dence interval for the median bonus expressed in percentage of yearly salary of this ?rm. Also, draw a probability plot and test for normality. Can this be considered a random sample?