Intravenous (IV) infusion fluids produced by three different pharmaceutical comp
ID: 3299499 • Letter: I
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: (a) Write an appropriate statistical model (to represent the responses using an appropriate equation) to describe the above data. Describe all symbols/notations used in the model. (b) Estimate the (three) group means, overall mean, and error variance (sigma^2) from the data. (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).Explanation / Answer
Using Minitab
a)
We use one -way ANOVA model .
b) and C)
One-way ANOVA: Abbott, Turnbull, Hanson
Method
Null hypothesis = All means are equal
Alternative hypothesis = At least one mean is different
Significance level = 0.05
Equal variances were assumed for the analysis.
Factor Information
Factor Levels Values
Factor 3 Abbott, Turnbull, Hanson
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Factor 2 45442 22721 3.85 0.046
Error 14 82554 5897
Total 16 127996
Model Summary
S R-sq R-sq(adj) R-sq(pred)
76.7898 35.50% 26.29% 3.99%
Means
Factor N Mean StDev 95% CI
Abbott 6 268.8 54.9 (201.6, 336.1)
Turnbull 6 204.5 83.3 (137.3, 271.7)
Hanson 5 333.4 90.5 (259.7, 407.1)
Pooled StDev = 76.7898
Interval Plot of Abbott, Turnbull, ...
Conclusion = Using p-value we say that we say that at least one mean is differ means at least one of the companies product .
############################################################################################
Best of luck :)
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.