what is the margin of error for a simple random sample of 900 people with a standard deviation of 13.5 at 95% level of confidence

How do you write this question in the right formula, please? I believe I can calculate the problem, I don't know how to write it.
900 2.5 and 1.96

To calculate the margin of error for a simple random sample at a specific level of confidence, you can use the following formula:

Margin of Error = z * (Standard Deviation / √n)

Where:
- z represents the z-score corresponding to the desired level of confidence
- Standard Deviation is the population standard deviation (σ)
- n is the sample size

In your case, the sample size (n) is 900 and the standard deviation (σ) is 13.5. To calculate the margin of error at a 95% level of confidence, you need to find the value of z corresponding to a 95% confidence level.

The z-score for a 95% confidence level is commonly known as 1.96.

So your formula would look like:

Margin of Error = 1.96 * (13.5 / √900)

Then you can calculate the margin of error by substituting the values into the equation:

Margin of Error = 1.96 * (13.5 / √900)
Margin of Error ≈ 1.96 * (13.5 / 30)
Margin of Error ≈ 1.96 * 0.45
Margin of Error ≈ 0.88

The margin of error for a simple random sample of 900 people with a standard deviation of 13.5 at a 95% level of confidence is approximately 0.88.

To calculate the margin of error for a sample, you can use the formula:

Margin of Error = (z * standard deviation) / √sample size

In this case, you have a sample size of 900 people, a standard deviation of 13.5, and you want to determine the 95% confidence level. The value 1.96 corresponds to the critical z-score for a 95% confidence level.

The formula can be written as:

Margin of Error = (1.96 * 13.5) / √900

Simplifying this equation, you can calculate the margin of error:

Margin of Error = (1.96 * 13.5) / 30

Margin of Error ≈ 0.881

Therefore, the margin of error for a simple random sample of 900 people with a standard deviation of 13.5 at a 95% level of confidence is approximately 0.881.