A laboratory that measures the glucose level in human blood

A laboratory that measures the glucose level in human blood creates a control chart for quality assurance. Every day the glucose level in 26 quality control sample is measured. The control chart displays the mean value of the 26 samples observed each day over a series of days (runs). From independent experiments, the control sample was found to have a glucose level of mu = 91.0 mg/dL and a population standard deviation of sigma = 3.4 mg/dL. Calculate the values of the lines labeled A, B, and Con the control chart.

Solution

Standard deviation is used to denote the amount of variation in a set of data. Low SD value indicates that the value is almost similar in most of the individuals.

Here, in the above question, it says that the mean value of glucose in blood is measured multiple times. The control is 91.0mg/dL. SD is 3.4 mg/dL. That means the value of 91mg/dL deviates +/- 3.4md/dL.

So the answer is A= 94.4mg/dL

B= 91.0mg/dL

C=87.6mg/dL