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STAT1201 Analysis of Scientific Data
Question 114 marks Measurements of the enzyme lactate dehydrogenase (LDH)
in the blood were taken on seven subjects before fasting and after fasting.
The results (μmol/L) are shown below:
Subject 1 2 3 4 5 6 7Decrease 0.19 -0.15 0.04 0.17 0.21 0.01 0.06 Researchers are interested in
whether blood LDH lowers during fasting.
(a) Calculate the five-number summary of the decreases in
LDH and sketch a (horizontal) box plot for the distribution in the space below. [3 marks]
(b) The decrease in LDH had a mean of 0.0767 μmol/L with a standard deviation of 0.1270 μmol/L.
Carry out a test to determine if there is evidence that blood LDH lowers with fasting. [3 marks]
(c) Construct a 95% confidence interval for the mean decrease in LDH after fasting. [2 marks](d) Carry out a sign test to determine if there is evidence that blood LDH lowers with fasting. [2 marks]
(e) Carry out a signed-rank test to determine if there is evidence that blood LDH lowers with fasting. [3 marks]
(f) Which of the three tests above do you feel is most appropriate for this data? [1 mark]