Question

To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained DATA on the time (minutes) needed to mix the materials. Test whether the machines have equal mean mixing time at α=0.01.

Manufacturer
A	B	C	D
25	23	25	22
23	21	25	23
21	23	25	23
23	24	21	22

Please help to select one of the following options:

The pvalue 0.0001 is extreme evidence that the machines are not all the same.

The data provide insignificant evidence against H0: Equal means at pvalue 0.514. The machine are considered equal.

The data provide weak evidence against H0: Equal means at pvalue 0.072. Equality of means remains plausible.

The data provide extreme evidence against H0: Equal means at pvalue 0.001. The mixing machines are not all equal.

The data provide strong evidence against H0: Equal means at pvalue 0.013. The mixing machines are not all equal.

None of the answers are correct.

Answer 1

Applying one way ANOVA:

Source of Variation	SS	df	MS	F	P-value
Between Groups	5.1875	3	1.7292	0.8058	0.5145
Within Groups	25.75	12	2.1458
Total	30.9375	15

The data provide insignificant evidence against H0: Equal means at pvalue 0.514. The machine are considered equal.