The service time for customers at Stylum Barber Shop follows a normal distribution with a population standard deviation of 2 minutes. At the beginning of the fiscal year, the owner conducted a time study of 25 customers and discovered that the mean service time per customer was 12 minutes. At the .05 confidence level, can it be concluded that the mean service time is less than 15 minutes?
Step 1. State the Null Hypothesis and the Alternate Hypothesis
Step 2. Select a Level of Significance
Step 3. Select the Test Statistic
Step 4. Formulate the Decision Rule
Step 5. Make a Decision
Step 6. Interpret the Result