A sociologist is desires to determine the mean age at which students graduate. Previous studies indicate that the standard deviation of these ages was 3.4 years. The sociologist wants to estimate the population's mean age within 0.25 year of the population mean . How many people should be included in the sample to be 99% confident that the sample mean of the age is within the given margin of error?
Use the z-score rounded to two decimals - if between two values, round up and not down - for example, if the z-score is between 1.22 and 1.23, use 1.23)