diamonds, mathematical interval. we have data on two random samples of diamonds: onewith diamonds that weigh 0.99 carats and one with diamonds that weigh 1 carat. each samplehas 23 diamonds. sample statistics for the price per carat of diamonds in each sample areprovided below. assuming that the conditions for conducting inference using a mathematicalmodel are satisfied, construct a 95% confidence interval for the true population difference inprices per carat of diamonds that weigh 0.99 carats and 1 carat. (wickham, 2016)mean sd n0.99 carats $44.51 $13.32 231 carat $57.20 $18.19 23