A random sample of 144 observations has a mean of 20, a median of 21, and a mode of 22. The population standard deviation is known to equal 4.8. The 95.44% confidence interval for the population mean is:
a. 15.2 to 24.8
b. 19.200 to 20.800
c. 19.216 to 20.784
d. 21.2 to 22.8