A small hair salon in Denver, Colorado, averages about 72 customers on weekdays with a standard deviation of 11. 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 $5 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 79. (You may find it useful to reference the z table.) a. What is the probabilityto get a sample average of 79 or more customers if the manager had not offered the discount? (Do not round intermediate calculations. Roundfinal answer to 4 decimal places.) b. Do you feel confident that the manager's discount strategy has worked? multiple choice

• No, there is good chance (more than 5%) of getting 79 or more customers without the discount.
• No, there is only a small chance (less than 5%) of getting 79 or more customers without the discount.
• Yes, there is good chance (more than 5%) of getting 79 or more customers without the discount.
• Yes, there is only a small chance (less than 5%) of getting 79 or more customers without the discount.