The mean for the normal glucose control is 76 mg/dL and one standard deviation is 3.0. What are the 95% confidence limits for the glucose control?

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Multiple Choice

The mean for the normal glucose control is 76 mg/dL and one standard deviation is 3.0. What are the 95% confidence limits for the glucose control?

To determine the 95% confidence limits for the glucose control, we can use the mean and standard deviation provided, along with the understanding of how confidence intervals work in a normal distribution. The mean glucose level is given as 76 mg/dL, and the standard deviation is 3.0 mg/dL. In a normal distribution, approximately 95% of the values lie within two standard deviations from the mean. This means that to find the 95% confidence limits, you would calculate: - Lower limit: Mean - 2(Standard Deviation) = 76 - 2(3) = 76 - 6 = 70 mg/dL - Upper limit: Mean + 2(Standard Deviation) = 76 + 2(3) = 76 + 6 = 82 mg/dL This results in confidence limits ranging from 70 mg/dL to 82 mg/dL, which indicates that we can be 95% confident that the true population mean for glucose levels falls within this interval. Thus, the correct choice reflects these computed confidence limits accurately.

To determine the 95% confidence limits for the glucose control, we can use the mean and standard deviation provided, along with the understanding of how confidence intervals work in a normal distribution.

The mean glucose level is given as 76 mg/dL, and the standard deviation is 3.0 mg/dL. In a normal distribution, approximately 95% of the values lie within two standard deviations from the mean. This means that to find the 95% confidence limits, you would calculate:

  • Lower limit: Mean - 2(Standard Deviation) = 76 - 2(3) = 76 - 6 = 70 mg/dL

  • Upper limit: Mean + 2(Standard Deviation) = 76 + 2(3) = 76 + 6 = 82 mg/dL

This results in confidence limits ranging from 70 mg/dL to 82 mg/dL, which indicates that we can be 95% confident that the true population mean for glucose levels falls within this interval.

Thus, the correct choice reflects these computed confidence limits accurately.

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