A pharmaceutical industry was developing a new method to determine the blood sugar level. A group of healthy volunteers where tested using this new method as well as the standard method to determine blood sugar levels:

standard method New method

Volunteer Blood sugar level (mM) Blood sugar level (mM)

1 4.37 4.41

2 4.13 4.28

3 4.87 4.70

4 4.33 4.39

5 5.18 4.87

6 5.36 4.98

7 4.38 4.42

(a)Compare the precision of the two methods and determine if the precisions of the two methods are significantly different or not, using a significand level of 0.05 (95 % confidence level). Assume that the samples are normally distributed. Explain your results.

(b)Determine if the means of the two methods differ significantly (95 % confidence level). Assume that the sample is normally distributed. Explain your results.