Production numbers for 2 shifts are shown. The shift supervisor of Shift 2 insists to the production manager that her operators are more productive than the ones on Shift 1. Using a confidence level of 95%, do you think her claim is valid that Shift 2 is more productive than Shift 1? Use the t-test for unequal variances.

Shift 1	Shift 2
1514	1534
1516	1536
1524	1540
1530	1541
1557	1568
1563	1572
1565	1576
1594	1585
1613	1587
1620	1653
1644	1677