SOLUTION: Find the margin of error for the given values of c,ō, and n. C=0.95, ō=3.1, n=64 E= ? ( round to three decimal places as needed)

Question 1170783: Find the margin of error for the given values of c,ō, and n.
C=0.95, ō=3.1, n=64
E= ? ( round to three decimal places as needed)
Answer by CPhill(1987) (Show Source): You can put this solution on YOUR website!
To find the margin of error (E), we'll use the following formula:
E = z_c * (σ / √n)
Where:
* E = margin of error
* z_c = the critical z-value corresponding to the confidence level (c)
* σ = the population standard deviation
* n = the sample size
**1. Find the Critical z-Value (z_c)**
* c = 0.95 (95% confidence level)
* For a 95% confidence level, the critical z-value (z_c) is approximately 1.96. You can find this value using a z-table or a calculator.
**2. Plug in the Values**
* z_c = 1.96
* σ = 3.1
* n = 64
E = 1.96 * (3.1 / √64)
**3. Calculate the Margin of Error**
* √64 = 8
* E = 1.96 * (3.1 / 8)
* E = 1.96 * 0.3875
* E = 0.76
**Answer:**
E = 0.760 (rounded to three decimal places)

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