A small hair salon In Denver Colorado averages about 20 cust

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 S4 discount on 6 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 6 weekday period lumps to 26 Use Table 1. a. What is the probability to get a sample average of 26 or more customers it the manager had not offered the discount? (Round your intermediate calculations to 4 decimal places, z value to 2 decimal places, and final answer to 4 decimal places.) b. Do you feel confident that the managers discount strategy has worked? No. there is only a small chance (less than 5%) of getting 26 or more customers without the discount. C.) Yes, 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. No. there is good chance (more than 5%) of getting 26 Or more Customers without the discount.

Solution

Standard error = sd/sqrt(n) = 7/sqrt(6) =2.8577

Z value for 26, z=(26-20)/2.8577 =2.10

P( x >26) = P( z >2.10) = 0.0179

Probability = 0.0179

b).

No, there is only small chance ( less than 5%)of getting 26 or more customers without the discount.