Question

In: Statistics and Probability

Does the boiling point of water differ with different concentrations of salt? For this experiment, complete...

Does the boiling point of water differ with different concentrations of salt?

For this experiment, complete steps (a)–(c) of the checklist for planning experiments as it appears in the Design and Analysis of Experiments text by Dean and Voss.

CHECKLIST
(a) Define the objectives of the experiment.
(b) Identify all sources of variation, including:
(i) treatment factors and their levels,
(ii) experimental units,
(iii) blocking factors, noise factors, and covariates.
(c) Choose a rule for assigning the experimental units to the treatments.

Solutions

Expert Solution

(A) Objectives of the experiment:

Is there any affect in the boiling point of water with varying concentration of salt in it. If it happens then detrmine the extent of affect in the boiling point.

(B) Sources of variation

(i) treatment factors and their levels :

Five equally spaced concentration levels will be used in the experiment as C1 ,C2 ,C3 ,C4 and C5

(ii) experimental units

There will be 25 glass brekers containing equal known value of distilled water.

(iii) blocking factors, noise factors, and covariates

Since the boiling point of is affected by humidity,atomospheric pressure, impurities etc.

Hence the days on which the experiment will be conducted may act as blocking factors because of differences in boiling point or atmospheric pressure.

So to avoid these the experiment will be conducted in environmentally controlled laboratory with distilled water.

(c) Choose a rule for assigning the experimental units to the treatments

Method of randomization will be employed. A unique identification number will be employed to every 25 beakers. Randomized sequence of the integers can be generated from a computer program.The assignment of concentration levels to the experimental units is shown below. The experiment will be run in the original order of experimental unit number

CONC

C1 C1 C1 C1 C1 C2 C2 C2 C2 C2 C3 C3 C3 C3 C3 C4 C4 C4 C4 C4 C5 C5 C5 C5 C5

EU

01 25 03 06 05 12 07 08 10 19 11 04 09 14 15 16 17 18 02 20 24 22 23 21 13

Run Order

01 02 03 04 05   06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25


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