Final answer:
The 99th percentile of the milk intake data is approximately 31.1 ounces, indicating that 99 percent of the observed values are less than or equal to this amount.
Step-by-step explanation:
Finding the 99th percentile in a dataset involves determining the value below which 99 percent of the data falls. First, arrange the given milk intake data in ascending order. The sorted values are: 13.4, 14.5, 17.8, 19.5, 23.8, 25.4, 26.6, 27.9, 28.0, 31.1. Since we have 10 data points, we calculate the index for the 99th percentile using the formula index = P(N + 1), where P is the percentile in decimal form and N is the number of observations. For the 99th percentile, the index is 0.99(10 + 1) = 10.89. Since this is not a whole number, we interpolate between the 10th and 11th values in our dataset. However, we only have 10 data points, which means the 99th percentile is approximately equal to the largest value in the dataset, which is 31.1 ounces. Therefore, 99 percent of the observed daily intakes of milk are less than or equal to 31.1 ounces.