Intravenous (IV) infusion fluids produced by three different pharmaceutical comp

Question

Intravenous (IV) infusion fluids produced by three different pharmaceutical companies (Abbott, Turnbull, and Hanson) were tested for their concentration of particulate contaminants measured as the number of particles larger than five microns in diameter per litre of IV fluid. Six samples were collected from each company, however one sample from Hanson was lost in transit. The concentrations of particulate contaminants for the 17 samples are given in the following table: (c) Does the data provide sufficient evidence to indicate that at least one of the companies produces IV fluids with a mean concentration of particulate contaminants that is different from either of the other companies? Test at the 5% level of significance (show all working and include appropriate hypothesis statements). (d) What assumptions are needed to make this test valid? (e) If a key assumption in (d) is not satisfied, use a non-parametric method to test if the data provides sufficient evidence to indicate that at least one of the companies produces IV fluids with a mean concentration of particulate contaminants that is different from either of the other companies (show all working and include appropriate hypothesis statements).

Explanation / Answer

c)

since p-value = 0.043 < 0.05

we rejectthe null hypothesis and conclude that the dataprovides sufficient evidence to indicate that at least one of the companies produces IV fluids with mean conc. that is different from the other

d)

The results of a one-way ANOVA can be considered reliable as long as the following assumptions are met:

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Abbott 6 1643 273.8333333 2636.56667 Turnbull 6 1227 204.5 6943.5 Hanson 5 1667 333.4 8193.3 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 45762.23137 2 22881.11569 3.97076472 0.04305543 3.738892 Within Groups 80673.53333 14 5762.395238 Total 126435.7647 16

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