A new drug mimicking adrenaline is given to volunteers and heart rate is measured. The data show a mean increase in heart rate of 22 beats per minute with a standard deviation of 6 bpm. A student claims this drug always increases heart rate by at least 20 bpm. Using the mean and standard deviation, calculate the z-score for the difference between the observed mean (22 bpm) and the student's claim (20 bpm). State whether the data support the student's claim at the level of one standard deviation.
(a)Calculate the z-score: (observed mean - claimed value) / standard deviation. Give answer to 2 decimal places.(3)
(b)State whether the data support the claim at the level of one standard deviation and justify briefly.(1)
(Total for Question 12 is 4 marks)