Question: (10 marks) The number of patients visiting the dental departments of two District General Hospitals in a total of 14 equal sample time period is

Hospital A: 8 12 7 15 9 10 11 13 10 14 9 12 11 12

Hospital B: 11 6 8 12 7 6 9 10 8 10 7 12 11 12

We want to examine whether one department sees significantly more patients than the other.

a. Write down the null hypothesis and the alternative hypothesis. (2 marks)

b. Check the normality of the data. Are they normally distributed? (2 marks)

c. Assume the data is normally distributed, what test should we use? (1 marks)

d. Perform the statistical test of your choice, what is the observed difference between hospital A and hospital B? What the expected sampling variability? What is the ratio between the observed difference and the expected sampling variability? (3 marks).

e. What is the p-value? (1 mark)

f. What is your conclusion? (1 mark)