\f\fhttps://www2 . stetson . edu/~jrasp/data. htm Data are for 308 round-cut diamonds, taken from a newspaper ad Data were obtained from the Journal of Statistics Education data archive IDNO - an identification number for each data point WEIGHT - weight of the diamond, in carats COLOR - degree of color purity in the diamond "D" represents top color purity grade Lesser grades are "E", "F", and so on, through the alphabet CLARITY - diamond clarity (presence or absence of minute flaws) "IF" means "internally flawless" - the top grade. No flaws visible under 10-power magnification Other grades in descending order: "vVS1" and "vv$2" for "very very slightly imperfect" "vs1" and "VS2" for "very slightly imperfect" RATER - the diamond was evaluated by one of three independent rating agencies "GIA" Gemmological Institute of America (based in New York) "IGI" International Gemmological Institute (Antwerp) "HRD" Hoge Raad Voor Diamant (Antwerp) PRICE - in Singapore dollars IDNO WEIGHT COLOR CLARITY RATER PRICE 1 0 .3 D VS2 GIA 1302 0 .3 VS1 GIA 1510 0 .3 G VVS1 GIA 1510 4 0 . 3 G VS1 GIA 1260 5 0 . 31 D VS1 GIA 1641 0 . 31 E VS1 GIA 1555 0 . 31 VS1 GIA 1427 0JO 0 . 31 G VVS2 GIA 1427 0 . 31 VS2 GIA 1126 10 0 . 31 VS1 GIA 1126 0 . 32 VS1 GIA 1468 0. 32 VS2 GIA 1202 0 . 33 VS2 GIA 1327 0 . 33 VS2 GIA 1098 0 . 34 VS1 GIA 1693 0. 34 VS1 GIA 1551 0. 34 VS1 GIA 1410 0 . 34 VS2 GIA 1269 0 . 34 VS1 GIA 1316 0 . 34 VS2 GIA 1222 0 . 35 VS1 GIA 1738 22 0 . 35 VS1 GIA 1593 0 . 35 VS1 GIA 1447 35 VS2 GIA 1255 0 . 36 VS1 GIA 1635\fSTAT 235 Assignment 10 Due Date: April 15th, 2023 Data Description and Background In this assignment, we will continue to analyze the diamond dataset. Once again, the variable of interest will be the diamond Price. Using the data provided, answer the following questions and provide the requested analysis. 1) Construct a C1-C1 plot comparing the empirical percentiles of the diamond prices to those of a Normal distribution (be sure to adequately label your plot, clearly labeling the axes). 2 pts 2) Based on the (1-0. plot constructed in part (1}, is it reasonable to conclude the diamond prices follow a Normal distribution? Justify your answer. 'A pt For parts (3) (4), assume the variance of diamond prices is unknown. 3) Construct a 90% Confidence Interval for the mean diamond price. 2 pts 4) Calculate the precision of the 90% Confidence Interval for the mean diamond price constructed in part (3). '/2 pt \f\f\f