Question

The amount of flow through a solenoid valve in an automobile’s pollution-control system is an important characteristic. An experiment was carried out to study how flow rate depended on three factors: armature length, spring load, and bobbin depth.

Two different levels (low and high) of each factor were chosen, and a single observation on flow was made for each combination of levels.
(a) The resulting data set consisted of how many observations?
(b) Is this an enumerative or analytic study? Explain your reasoning.

Answer 1

8 observations ;

Analytic study

Explanation:

Three different factors :

armature length, spring load, and bobbin depth = 3

Levels : low and high = 2

Number of observations = (number of levels)^number of factors

Number of observations = 2^3 = 2 * 2 * 2 = 8

The study could be described as an Analytic study because the aim of the study is to flow rate dependency on th three factors given (armature length, spring load, and bobbin depth).

If it were an enumerative study, aim of the study would be to analyze or peruse an established result or outcome