Question

A manager is considering three new machines for filling boxes of cereal at a processing plant. Each of the three machines is assigned to 10 randomly selected employees. The time required to fill 25 boxes using the machine is recorded. How many treatments does this single-factor experiment have

Answer 1

3

Explanation:

Given that :

Number of machines which are asre assigned 10 different randomly selected employees = 3

Hence, the number of treatments in the single - factor experiment is 3. This is because from the knowledge of ANOVA(Analysis of Variance), the letter 'k' is used to depict the number of treatment which is equivalent to the number of independent groups which we want to experiment or compare. Since each of the 3 new machines are treated independently. Hence, we have 3 treatments.

Also the number of groups k which are assigned the same Number of sample sizes in the comparison group is the Number of treatments on the analysis.

Hence, 3 different groups are each assigned 10 random employees. Then the number of treatments equals 3.