You are conducting a study on the blood glucose levels of 9 patients who are on strict diets and exercise routines.To monitor the mean and range of the blood glucose levels of your patients, you take a blood glucose reading every day for each patient for 20 days.The mean of the 9 sample means is 101.03, and the mean of the 9 standard deviations is 29.243.The lower control limit for your $\bar { x }$ chart is ________.
A)70.85
B)92.11
C)73
D)71.75
E)60.5

Question

Quizplus · Accepted Answer

The lower control limit (LCL) for the $\bar{x}$ chart can be calculated using the formula: $$LCL = \bar{\bar{x}} - A_2 \times \bar{R}$$ where $\bar{\bar{x}}$ is the mean of the sample means, and $\bar{R}$ is the mean range. However, since the mean range is not provided but the mean of the standard deviations is given, we can't directly calculate the LCL without knowing the exact value of $A_2$ or the mean range. The correct answer, therefore, is based on the information provided and the typical use of control charts in quality control. Given the options and without the specific values or formula to calculate $A_2$ or to convert the mean of the standard deviations to a mean range, we can't accurately calculate the LCL. However, since option A is selected as the correct answer, it suggests that there might be additional context or a standard value used for $A_2$ and an assumption about the relationship between the standard deviation and the range in this specific scenario.

You Are Conducting a Study on the Blood Glucose Levels xˉ\bar { x }xˉ

You Are Conducting a Study on the Blood Glucose Levels $\bar { x }$