Part 1 of 5

An image of a person taking some pain medicine.

A certain pain-reliever is supposed to deliver 70 minutes of pain relief when given to a 150-160 lbs patient. A patient claims that the medicine provides the average relief time that is less than 70 minutes per take. A simple random sample of 39 patients shows the following relief times:
71.164.667.27061.5
7167.77267.466.5
68.974.774.767.467.4
63.275.767.263.562
74.568.568.369.171.2
66.274.170.164.467.1
69.867.874.470.668.6
74.57467.468
At the 10% significance level, test the patient's claim assuming that the population standard deviation of pain-relieving times is 4 minutes. (Note: The average and the standard deviation of the data are respectively 69.03 minutes and 3.73 minutes.)

Procedure:

Assumptions: (select everything that applies)