Question

Among 100 women with average Hb of 10 gm%, the standard deviation was 1. What is the standard error?

• A. 0.01
• B. 0.1
• C. 1
• D. 10

Hint:

SE equals SD divided by the square root of the sample size.

Answer 1

The Correct Option is B

Step 1: Recall the formula for standard error.
The standard error of the mean (SEM) tells us how much sample means vary from the true population mean. It is calculated as
\[ SE = \frac{SD}{\sqrt{n}} \]
where \(SD\) is the standard deviation of the sample and \(n\) is the sample size.

Step 2: Identify the given values.
Here, the standard deviation is \(SD = 1\) and the sample size is \(n = 100\).

Step 3: Substitute into the formula.
\[ SE = \frac{1}{\sqrt{100}} \]
\[ SE = \frac{1}{10} \]

Step 4: Final Answer:
\[ SE = 0.1 \]
The standard error of the mean Hb in this sample of 100 women is 0.1 gm%.
\[ \boxed{0.1} \]