Question 1192324: if X bar is 62 ,sigma square is 2401, mu is 84.60 ,confidence interval is 95% and
Z alpha/2 = 1.96 find n?
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! The sample size (n) cannot be directly determined from the given information. Here's why:
* **Missing Margin of Error:** The formula for calculating sample size in a confidence interval for the mean requires the margin of error (E). The margin of error represents the desired level of precision for the estimate.
**Formula:**
n = (Zα/2 * σ / E)²
where:
* n = sample size
* Zα/2 = critical value from the standard normal distribution (1.96 for 95% confidence)
* σ = population standard deviation (√σ² = √2401 = 49)
* E = margin of error
**To find the sample size (n), you would need to specify the desired margin of error (E).**
**Example:**
Let's say you want a margin of error of 5 units:
n = (1.96 * 49 / 5)²
n = (19.208)²
n ≈ 369
In this example, a sample size of approximately 369 would be needed to achieve a 95% confidence interval with a margin of error of 5 units.
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