69. Solving a chemistry problem

You, as an analyst, were brought in as an expert in court. The plaintiff, who suffers from diabetes, filed a lawsuit against the manufacturer of the glucometer. The plaintiff measured the level of glucose in his own blood using a glucometer, on the basis of which he decided to inject himself with insulin. After that, he became worse, and he was hospitalized with an overdose of insulin. The essence of the claim is that, according to the plaintiff, the glucometer shows overestimated values of the concentration of glucose in the blood.
To test this hypothesis, you conducted two series of experiments using the plaintiff´s home glucometer and a reliable laboratory method on a standard glucose sample at a concentration of 6.00 mmol/l. The following data are obtained (mmol/l):
Blood glucose meter Laboratory method
8.0 5.9
7.5 6.0
7.2 6.1
8.2 5.8
A. Determine if there are any misses in each sample. If there are any, then exclude them. (5 points)
B. Calculate the mean and standard deviation for both methods. (5 points)
C. Do these methods differ in precision? (5 points)
D. Do the mean values obtained by the two methods differ? Formulate a null hypothesis and test it. (10 points)

BONUS (10 points):
Test the hypotheses (separately for each sample) that the mean concentration values do not differ from the true value (6.00 mmol/l). What final conclusion will you present to the court?