Question

Use the data for only Machine A to test to see if there is evidence that...

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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