A statistician chooses 24 randomly selected dates, and when examining the occupancy records of a particular motel for those dates, finds a mean number of rooms rented to be 138.2 with a standard deviation of 26.22 rooms rented. Assume that the number of rooms rented is normally distributed. Verify the assumptions in one variance χ² procedure for constructing a 99% confidence interval for the variance of the number of rooms rented.