(a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.) Standard Error (a) o = O = 54,n = 9 (b) o = 54, n = 36 (c) o = 54, n = 144 (b) What happens to the standard error each time you quadruple the sample size? The standard error is reduced v by half.

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**Educational Website Transcription:**

**Problem Statement:**

(a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.)

- (a) \( \sigma = 54, \, n = 9 \)
- (b) \( \sigma = 54, \, n = 36 \)
- (c) \( \sigma = 54, \, n = 144 \)

**Standard Error Calculation Table:**

| Situation | Standard Error |
|-----------|----------------|
| \((a)\)      |                |
| \((b)\)      |                |
| \((c)\)      |                |

(b) What happens to the standard error each time you quadruple the sample size?

The standard error is \(\boxed{reduced}\) by half.
Transcribed Image Text:**Educational Website Transcription:** **Problem Statement:** (a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.) - (a) \( \sigma = 54, \, n = 9 \) - (b) \( \sigma = 54, \, n = 36 \) - (c) \( \sigma = 54, \, n = 144 \) **Standard Error Calculation Table:** | Situation | Standard Error | |-----------|----------------| | \((a)\) | | | \((b)\) | | | \((c)\) | | (b) What happens to the standard error each time you quadruple the sample size? The standard error is \(\boxed{reduced}\) by half.
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