2. It has been said the vitamin C has the ability to cure or prevent the common cold. Residents at a local town have been encouraged to take vitamin C during the flu season. The town reported that the average age of those who take vitamin C during the flu season is 45 years old. A study was conducted on a random sample of 25 residents from the town who took vitamin C during the flu season. This resulted in a mean age of 47 years and a standard deviation of 4. You have been given the task to determine if there is enough evidence to support the report given. (a) Describe how you would conduct a hypothesis test for this case. (8 ) (b) Detail the steps that you would take to perform the test at 0.05 level of significance and state the conclusion based on the test you conducted. [All work must be shown] ( 12 )