A recent study found that if a person chewed gum, the average number of sticks of gum he or she chewed daily was 8. To test the claim, a researcher selected a random sample of 25 gum chewers and found the mean number of sticks chewed per day was 9. The standard deviation of the sample is 1. At a =.02 , is the number of sticks of gum a person chews per day actually greater than 8? Use the traditional method of hypothesis testing.