Average Number of Gemstones per Epic Capsule (Sample mean + confidence interval)

Data came from four YouTube unboxing videos (obviously not the best source, but what can you do) with a total of 51 Capsule openings. I included any gemstones obtained from the bonus chest from purchasing the Epic Capsule Bundle, and in the event that any capsule or bonus chest gave a gemstone skin, I would've counted it as 10 gemstones (there weren't any). All numbers shown here are rounded to the ten thousandth's place, though I did not truncate when doing calculations.

A-priori set confidence level to 95% (alpha = 0.05), THEN collected data.

With n = 51 capsules, a total of 11 gemstones were obtained. I calculated the sample mean to be 0.2157 and the sample standard deviation to be 0.4113.

A 95% confidence interval corresponds to a confidence coefficient of 1.96 standard deviations. The product of this and the sample error, 0.0576, is the margin of error, 0.1129. Sample mean +/- margin of error gives us the confidence interval.

I am 95% confident that the average number of gemstones per epic capsule is between 0.1028 and 0.3286.