Solve the T -statistic for the test

| August 30, 2017

Question
Solve the T -statistic for the test

below is the the table the Answer is t= – 7.646

But i need to understand how they obtain this answer in order to do a similar question .

Weight (Carat) Price ($)
0.22 616
0.25 712
0.27 750
0.28 843
0.27 724
0.19 501
0.17 349
0.23 650
0.22 608
0.24 634
0.29 863
0.16 347
0.17 377
0.16 295
0.18 462
0.24 609
0.22 581
0.16 389
0.17 402
0.28 752
0.25 694
0.23 651
0.26 737
0.19 432
0.22 560
0.27 736
0.28 846
0.25 660
0.24 647
0.21

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