Question

A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. Test by using  α = 0.05. Their data is given below.

Machine A	Machine B	Machine C
11.8	11.7	12.2
12.1	11.9	12.1
12.0	11.7	12.0
11.9	11.8	11.9
12.1	12.0	12.2

A. There is sufficient evidence to reject the claim that the proportions are equal because the p-value 0.0255 < 0.05

B. There is insufficient evidence to conclude the claim that the proportions are equal because the p-value 0.0255 < 0.05

C. There is insufficient evidence to reject the claim that the proportions are equal because the p-value 0.0255 < 0.05

D. There is sufficient evidence to conclude the claim that the proportions are equal because the p-value 0.0255 < 0.05

Answer 1

The statistical software output for this problem is :

Analysis of Variance results: Data stored in separate columns. Column statistics Column = nMean Std. Dev. Std. Error = A 5 11.98 0.13038405 0.058309519 5 11.82 0.13038405 0.058309519 с 12.08 0.13038405 0.058309519 B الا ANOVA table Source DF SS MS F-Stat P-value Columns 2 0.172 0.086 5.0588235 0.0255 Error 12 0.204 0.017 Total 14 0.376

D. There is sufficient evidence to conclude the claim that the proportions are equal because the p-value 0.0255 < 0.05