Question: #6. A survey is taken to estimate the mean annual family income for families living in public housing in Chicago. From a random sample of 30 families, the annual incomes (in hundreds of dollars) are as follows

83 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 stem and leaf plot of the incomes.

(b) Construct and interpret point estimates of \(\mu \) and \(\sigma \)

(c) Construct and interpret a 95% confidence interval for \(\mu \)

(d) Construct a 99% confidence interval for \(\mu \), and compare with the one form (c)