A savings bank claims its bank deposits are normally distributed with a mean of at least $8543. A bank regulator wants to test the accuracy of the banks claim at a 5% level of significance. She takes a sample of 24 accounts and finds the mean of the sample is 8339 with a standard deviation of $615. She is only concerned about the banks claim is exaggerated. She not concerned if mean is larger. Should she accept the banks claim?