​
 

Skittles Project Part 4

​

Construct a confidence interval estimate for the population proportion of yellow candies.

 

The confidence interval for the population proportion of yellow candies is between 19% and 24% (.19, .24). What this means is that we are 99% confident the interval contains the true population proportion of the number of yellow candies found in each bag of Skittles.

 

Construct a confidence interval estimate for the population mean of candies per bag of Skittles.

 

The confidence interval for the population mean of the number of candies per bag of Skittles is (57.723, 59.402). Rounding, we can say the estimated mean is between 58 and 59 candies per bag. This means that we can be 95% confident that the interval contains the true population mean of the number of candies found in each bag of Skittles.

 

A confidence interval is a low point estimate and high point estimate that may contain the true value of a statistic. The general purpose and meaning of a confidence interval is to let us reasonably conclude through data with a measure of confidence that a statistic can be applied to a population from sample data. Confidence intervals allow a statistic to be applied to a population with some level of confidence, not complete confidence. This allows for outliers and error when it comes to the population as a whole. To say you have a 95% confidence level that an interval contains a true statistic allows a 5% chance that the statistic could still be untrue in some cases. In this instance, 5% would be considered the margin of error. Confidence intervals are important for repeated studies. For instance, if you have a 5% margin of error in one study, the next study should not have more than 5% of the data fall outside of measured statistic.