Consider the diamond prices (standardized by weight) for diamonds with weights 0.99 carat and 1 carat. See the table for summary statistics, and then construct a 95% confidence interval for the average difference(0.99 carat minus 1 carat) between the standardized prices of 0.99 and 1 carat diamonds. You may assume the conditions for inference are met. (Round your answers to two decimal places.) 0.99 carat 1 carat Mean $44.51 $56.82 SD $11.32 $16.12 n 35 35 $ 19.02 X , $ 5.60 x