Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
Question
Answer:
To calculate the required sample size, we can use the formula:Where:
- \(n\) is the required sample size
- \(Z\) is the z-score corresponding to the desired confidence level (in this case, for 95%, \(Z = 1.96\))
- \(\sigma\) is the population standard deviation
- \(E\) is the margin of error
Plugging in the given values:
Simplifying the equation:
Rounding up to the nearest whole number, the required sample size is:
Answer: The required sample size is 267.
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