A small hair salon in Denver, Colorado, averages about 62 customers on weekdays with a standard deviation of 16. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $3 discount on 9 consecutive weekdays. She reports that her strategy has worked because the sample mean of customers during this 9-weekday period jumps to 74. Do you feel confident that the manager's discount strategy has worked?

a) True
b) False