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What is the Sample Size for the following numbers: standard deviation is 5.28 , error is within 1.21 , and confidence level is 0.94 ?

User Kjpires
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Final answer:

The sample size with given standard deviation, error, and confidence level is approximately 69.

Step-by-step explanation:

To determine the sample size, we can use the formula:

sample size = (z-value * standard deviation / margin of error)^2

Given that the standard deviation is 5.28, the margin of error is 1.21, and the confidence level is 0.94, we need to find the corresponding z-value.

Using a standard normal distribution table, we can find that the z-value for a 94% confidence level is approximately 1.88.

Plugging in the values, the sample size is:

sample size = (1.88 * 5.28 / 1.21)^2

sample size ≈ 69.34

Therefore, the sample size is approximately 69.

User Luca Thiede
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