It is essential to understand the concept of the confidence interval as it indicates the precision of a sampling method. Relevance and Use of Confidence Interval Formula You can use the following Confidence Interval Formula Calculator Step 6: At last, the formula can be calculated by subtracting and adding the margin of error (step 5) from and to the sample mean (step 1) as shown below:Ĭonfidence Interval = x̄ ± z * ơ / √n Confidence Interval Formula Calculator Step 5: Finally, compute the margin of error by using sample size (step 2), population standard deviation (step 3), and confidence coefficient (step 4). Step 4: Next, determine the confidence coefficient or z-score based on the desired confidence level. Step 3: Third, determine the population standard deviation based on sample observations, mean, and sample size. Step 2: Second, determine the sample size, that is, the number of observations in the sample. Step 1: Firstly, determine the sample mean based on the sample observations from the population data set. The formula for the Confidence Interval can be calculated by using the following steps: Lastly, the confidence interval at a 99% confidence level is 3.17 to 3.43.įrom the above illustration, the confidence interval of a sample spreads out with the increase in confidence level. Thus, the confidence interval at 98% confidence level is 3.18 to 3.42. Thus, the Confidence Interval at a 95% confidence level is 3.20 to 3.40. Therefore, the Confidence Interval at a 90% confidence level is 3.22 to 3.38. The overall calculation for the Upper Limit and Lower Limit is given below. The confidence Interval is calculated using the following formula.Ĭonfidence Interval = ( x̄ – z * ơ / √n) to ( x̄ + z * ơ / √n) Determine the confidence interval for the following data. The survey was on a scale of 1 to 5, with 5 being the best, and the average feedback of the respondents was 3.3, with a population standard deviation of 0.5. Let us consider the below example of 100 respondents surveyed for their customer service feedback. You can download this Confidence Interval Formula Excel Template here – Confidence Interval Formula Excel Template Confidence Interval Formula – Example #1
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