In Eurelia there are three categories of bicycle license, with different fees for each. The table below is based on a random sample of 122 Eurelian bicycle-license holders.
License Fee
25$ 30$ 27$
Female 18 12 14
Male 6 4 10
Other 18 24 16
a) Is the mean amount paid by men significantly greater than $25?
b) Estimate the standard error of the sample mean for men.
c) Form a 95% confidence interval for the mean amount paid by men.