Find a 98% confidence interval for the difference between the mean yield strengths for grade 5 and grade 2 bolts.

In a test to compare yield strengths of two grades of carbon steel bolts, strengths of eight grade 2 bolts and six grade 5 bolts were measured. The results, in MPa, were
Grade 2: 408 401 406 396 407 394 399 394
Grade 5: 637 659 655 644 663 635


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