Consider the following hypothesis. H0: average age at first birth for mothers in the United States is 23.7 years, and H1: average age for first-time mothers in the United States is 21 years, to be tested at the 99 percent level of confidence.

• Is alpha known in principle? If yes, can its value be stated from the information given? If yes, what is alpha?
• Is beta known in principle? If yes, can its value be stated from the information given? If yes, what is beta?