Use the data for only Machine A to test to see if there is evidence that it is filling bottles with less than the desired 568 mL. Use a 2.5% significance level. Based on this test, does it seem like Machine A needs to be recalibrated? H0: μ Ha: μ Test statistic: X̄ =
Machine | FillLevel |
A | 546.9 |
A | 555.5 |
A | 561.5 |
A | 569.5 |
A | 583.7 |
A | 560.5 |
A | 565.6 |
A | 569.3 |
A | 563.4 |
A | 560.7 |
A | 561.8 |
A | 552.3 |
A | 577.6 |
A | 566.9 |
A | 562.7 |
A | 581.1 |
A | 572.9 |
A | 564.5 |
A | 575.2 |
A | 573.2 |
A | 553.5 |
A | 560.3 |
A | 568.9 |
A | 565.3 |
A | 561.6 |
A | 568.9 |
A | 566.3 |
A | 561.8 |
A | 569.9 |
A | 571.1 |
A | 538.7 |
A | 557.2 |
A | 559.3 |
A | 568.6 |
A | 567.1 |
A | 561.2 |
A | 568.4 |
A | 568.4 |
A | 557.5 |
A | 560.2 |
A | 556.7 |
A | 561.6 |
A | 555.9 |
A | 559.4 |
A | 568.7 |
A | 574.2 |
A | 565.9 |
A | 558.8 |
A | 563.3 |
A | 567.9 |
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