Part 1 of 5

An image of a person measuring their heart-rate after work.

A study assessed fatigue in Chicago public school teachers due to stress. A random sample of 10 teachers had the following post-work heart rates:
7778.772.668.870.9
72.476.174.867.475.3
Assume that the population standard deviation of post-work heart rates for Chicago public school teachers is 4 bpm, also assume that the sample is from a normal population. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean post-work heart rate for Chicago public school teachers is greater than the normal resting heart rate of 72 bpm? (Note: The average and the standard deviation of the data are respectively 73.4 bpm and 3.64 bpm.)

Procedure:

Assumptions: (select everything that applies)