A certain vending company\'s soft-drink dispensing machines are supposed to serv

Question

A certain vending company's soft-drink dispensing machines are supposed to serve 6 oz of beverage. Various machines were sampled, and the resulting amounts of dispensed drink (in ounces) were recorded, as shown in the following table. Does this sample evidence provide sufficient reason to reject the null hypothesis that all five machines dispense the same average amount of soft drink? Use = .01?

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
< p <

Machines A B C D E 3.8 6.6 4.5 6.1 5.0 3.9 7.0 4.2 6.5 4.6 4.0 7.1 4.1 6.0 4.5 4.0 4.1 5.5

Explanation / Answer

after applying one way ANOVA on above values:

a) here test stat F=69.36

b) p value =0.0000

hence we reject null hypothesis that all mean are equal and conclude that at least two machines have unequal means

SUMMARY Groups Count Sum Average Variance A 4 15.7 3.925 0.009167 B 3 20.7 6.9 0.07 C 4 16.9 4.225 0.035833 D 3 18.6 6.2 0.07 E 4 19.6 4.9 0.206667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 22.09 4 5.5225 69.36473 1.23E-08 5.20533 Within Groups 1.035 13 0.079615 Total 23.125 17

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