You do a study of hypnotherapy to determine how effective it is in increasing the number of hours of sleep subjects get each night. You measure hours of sleep for 12 subjects with the following results. Construct a 95% and 99% confidence interval for the mean number of hours slept for the population (assumed normal) from which you took the data.
8.2 9.1 7.7 8.6 6.9 11.2 10.1 9.9 8.9 9.2 7.5 10.5