The population mean for commute time is 25.1 minutes and the standard deviation is 10.2 minutes in Aurora, CO.
a) Based on a sample size of 35 individuals, determine the two-sided 90% confidence interval for the distribution of commute times for this population.
b) The sample that we selected above has a mean commute time of 35 minutes. Based on our confidence interval, does the sample of individuals appear to be representative of the population? Why or why not?