A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6. 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 $2 discount on 5 consecutive weekdays.

She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 35.

a. How unusual would it be to get a sample average of 35 or more customers if the manager had not offered the discount?

b. Do you feel confident that the manager's discount strategy has worked? Explain. L01