A catheter is a small tube that can be used in an angiogram. It is threaded into the heart from a vein in the patient's leg to help examine heart problems. It is important that the company that manufactures the catheters maintains a diameter of 2.00 mm.

A random sample of 10 catheters is taken and the diameters (in mm) given below.

1.93 1.94 1.95 2.03 1.92 2.04 1.98 2.01 2.02 1.93

• Create a 95% confidence interval for the mean diameter of catheters produced
• Perform a hypothesis test to find out if the mean diameter of the catheters is significantly different from the required 2.00 mm. Use =0.05.