A survey is taken to estimate the mean annual family income for families living in public housing in Chicago. For a random sample of 29 families, the annual incomes (in hundreds of dollars) are as follows:
90 77 100 83 64 78 92 73 122 96 60 85 86 108 70
139 56 94 84 111 93 120 70 92 100 124 59 112 79
a. Construct a box plot of the incomes. What do you predict about the shape of the population distribution? Does this affect the possible inferences?
b. Using software, find point estimates of the mean and standard deviation of the family incomes of all families living in public housing in Chicago.
c. Obtain and interpret a 95% confidence interval for the population mean.