question archive Four laboratories are being used to perform chemical analyses
Four laboratories are being used to perform chemical analyses
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Four laboratories are being used to perform chemical analyses. Samples of the same material are sent to the laboratories for analysis as part of the study to determine whether or not they give, on average the same results. 1 58.7 61.4 60.9 59.1 58.2 Laboratory 2 3 62.7 55.9 64.5 56.1 63.1 57.3 59.2 55.2 60.3 58.1 4 60.7 60.3 60.9 61.4 62.3 T = 298.3 T, = 309.8T, = 282.6 T= 305.6 NOTE: Σ' =71676.99 Does the data indicate a difference in results between the laboratories? Use a =0.05 level of significance. (Perform ANOVA test)
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Answer:
1) Click on Data------->Data Analysis------->One-way anova (or) Single anova factor
2) Enter the input range of variable = select the data value cells
3) Select the labels and enter the alpha = 0.05
4) Select an empty cell for the output
The output of one way anova is
The null and alternative hypothesis is
Ho:u1=u2=u3=u4
Ha: atleast one of the population mean is different.
F-test = 13.33
P-value = 0.0001
Since P-value < (0.05), hence we reject the null hypothesis.
Thre is a sufficient evidence to conclude that the data indicate a difference in results between the laboratiries.
PFA
