Question

To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material.

Manufacturer
1	2	3
19	27	21
27	26	19
24	30	22
26	33	26

(a)

Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use

α = 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)

______________.

Find the p-value. (Round your answer to three decimal places.)

p-value =_____________.

At the α = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3.

Find the value of LSD. (Round your answer to two decimal places.)

LSD = ___________.

Answer 1

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
1	4	96	24	12.66667
2	4	116	29	10
3	4	88	22	8.666667
ANOVA
Source of Variation	SS	df	MS	F	P-value
Between Groups	104	2	52	4.98	0.035
Within Groups	94	9	10.44444
Total	198	11

Test - stats (F) = 4.98

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p-value = 0.035

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