Calculate for the following given the values below. Express your answer in 2 decimal places (example: 25.00)
Mean Standard deviation Sample Size Confidence Level
88 20 150 95%
What is the margin of error?
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Calculate for the following given the values below. Express your answer in 2 decimal places (example: 25.00)
Mean Standard deviation Sample Size Confidence Level
88 20 150 95%
What is the margin of error?
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To calculate the margin of error, we can use the formula:
Margin of Error = (z-score) x (standard deviation / square root of sample size)
where the z-score is the value from the standard normal distribution corresponding to the given confidence level.
First, we need to find the z-score corresponding to a 95% confidence level. This can be looked up on a standard normal distribution table or calculated using a statistical software. The z-score for a 95% confidence level is approximately 1.96.
Using the given values:
Margin of Error = (1.96) x (20 / sqrt(150))
= 2.55
Therefore, the margin of error is 2.55, rounded to 2 decimal places.
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