An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to ensure that the estimate has an error of at most0.22words per minute. A previous study found that the mean was29.3words per minute. Assuming that the variance is31.36, what is the minimum number of third graders that must be included in a sample to construct the98%confidence interval? Round your answer up to the next integer.