Moderate# Average Number of Text Messages

APSTAT-GEWZVW

A husband was curious at the end of the year about the average number of texts his wife sent out each day. He randomly selected $27$ days and found that the data followed an approximately normal distribution, with a mean of $40.3$ and a standard deviation of $5.4$.

Which of the following represents a $99\%$ confidence interval for the average number of texts his wife sent out each day?