1. (Comparing 2 means Ch 7.3 13 points) The heart rates (beats per minute) of a group of patients suffering from hypertension were compared to the heart rates of a control group consisting of healthy subjects: Sample mean (x) Control group 70.3 Sample standard deviation (s) 8.0 Sample size (n) 18 Hypertension group 73.1 10.0 25 a) [8] Test at = 0.05 whether there is evidence of a difference in the mean heart rate for the two groups. In the "5-step plan", you can skip step 3 (assumptions) as this is covered in question 2 below. You can use the t-table or R to get your p-value. b) [5] Estimate the average difference in heart rate between the two groups (hypertension minus control) using a 95% confidence interval. 2. (Comparing 2 means - Ch 7.3 - 8 points) To check the assumption of roughly normal data, comment on the two histograms below (data are from question 1). Based on the modes, skew and outliers you see (or don't see), could these samples have come from a normal distribution? 5 Frequency 2 0 Control group 7 6 5 1 2 Frequency Hypertension group 50 50 60 70 80 90 50 60 70 80 90 Heart Rate (beats/min) Heart Rate (beats/min)