A small hair salon in Denver, Colorado, averages about 20 customers on weekdays with a standard deviation of 7. 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 $4 discount on 6 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 6 weekday period jumps to 26. [You may find it useful to reference the z table.]

a. What is the probabilityto get a sample average of 26 or more customers if the manager had not offered the discount? (Round final 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 26 or more customers without the discount.
• No, there is only a small chance (less than 5%) of getting 26 or more customers without the discount.
• Yes, there is good chance (more than 5%) of getting 26 or more customers without the discount.
• Yes, there is only a small chance (less than 5%) of getting 26 or more customers without the discount.