A study of 200 apples trees showed that the average number of apples per tree was 1000. The standard deviation of the population is 200. Which of the following is the 98% confidence interval for the mean number for all apples.
a. (967.1, 1032.9)
b. (963.8, 1036.2)
c. (963.6, 1036.4)
d. (972.3, 1027.7)