Hypertension. A healthcare service center conducts a high blood pressure study and records 15 individuals’

change in blood pressure (in mmHg) 30 minutes after consumption of a caffeine drink as below:

10, 15, 8, 11, 8, 7, 12, 9, 13, 11, 10, 10, 6, 11, 5

a) Check the assumptions and conditions for inference.

b) Create a 95% confidence interval for the average change in blood pressure.

c) A person claims that the change in his blood pressure is 16 mmHg 30 minutes after consumption of a caffeine drink. What does this evidence indicate? Use your confidence interval to test an appropriate hypothesis and state your conclusion.