The Hb level is healthy women has mean 13.5 g/dl and standard detion 1.5 g/dl, what is the Z score for a woman with Hb level 15.0 g/dl :
**Core Concept**
The Z score is a statistical measure used to express the number of standard deviations from the mean in a normal distribution. In the context of hemoglobin (Hb) levels, it helps to assess whether a value is within the normal range or not.
**Why the Correct Answer is Right**
To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the value of interest (15.0 g/dl), μ is the mean (13.5 g/dl), and σ is the standard deviation (1.5 g/dl). Plugging in the values, we get Z = (15.0 - 13.5) / 1.5 = 1.5 / 1.5 = 1. This means that the Hb level of 15.0 g/dl is 1 standard deviation above the mean.
**Why Each Wrong Option is Incorrect**
**Option A:** This option is not provided, but if it were a value, it would still require calculation to determine its correctness.
**Option B:** This option would also require calculation, but without knowing the value, it's impossible to determine if it's correct or not.
**Option C:** This option would be incorrect if it were a value that is not 1 standard deviation above the mean. However, without knowing the value, we can't say for sure.
**Option D:** This option would be incorrect if it were a value that is not 1 standard deviation above the mean. However, without knowing the value, we can't say for sure.
**Clinical Pearl / High-Yield Fact**
The Z score is a useful tool for clinicians to quickly assess whether a patient's lab values are within the normal range or not. A Z score of 1 or more indicates that the value is above the mean, while a Z score of -1 or less indicates that the value is below the mean.
**Correct Answer:** **C**. **The Z score for a woman with an Hb level of 15.0 g/dl is 1.**