A vaccine manufacturer fills its vials to 75 ml. Suppose that each shift samples 30 vials. The standard deviation of the machine is known to be .04 ml. After 4 shifts (n=120), the vials are examined. The measured average is 74.992. The company is concerned if the vials are underfilled. Make a hypothesis and test if the vials are underfilled using alpha = .01. Show your work and state whether or not the vials are underfilled. Show the calculated p-value also.

A B C D E F G H K A vaccine manufacturer fills its vials to 75 ml. Suppose that each shift samples 30 vials. The standard O deviation of the machine is known to be .04 ml. After 4 shifts (n=120), the vials are examined. The measured average is 74.992. The company is concerned if the vials are underfilled. Create a hypothesis and test if the vials are underfilled using alpha = .01. Show your work and state whether or not the vials are underfilled.Show the calculated p-value also