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A managerial decision problem. A direct-mail company assembles and stores paper products (envelopes, letters, brochures, order cards, etc.) for its customers. The company estimates the total number of pieces received in a shipment by calculating the weight per piece and then weighing the entire shipment. The company is unsure whether the sample of pieces used to estimate the mean weight per piece should be drawn from a single carton or whether it is worth the extra time required to pull a few pieces from several cartons. To aid management in making a decision, eight brochures were removed from each of the five cartons of a typical shipment and weighed. The weights (in pounds) are shown in the table.

Carton 1 Carton 2 Carton 3 Carton 4 Carton 5
.01851 .01872 .01869 .01899 .01882
.01829 .01861 .01853 .01917 .01895
.01844 .01876 .01876 .01852 .01884
.01859 .01886 .01880 .01904 .01835
.01854 .01896 .01880 .01923 .01889
.01853 .01879 .01882 .01905 .01876
.01844 .01879 .01862 .01924 .01891
.01833 .01879 .01860 .01893 .01879

a. Identify the response, factor(s), treatments, and experimental units.

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Answered 11 months ago
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We need to determine the response variable, factors, treatments, and experimental units of the experiment.

  • A response variable (or dependent variable) is a variable that measures an outcome or result of a study.
  • The factors are variables whose levels are manipulated by the experimenter and thus these variables are controlled by the experimenter.
  • The treatments are what the subjects are subjected to.
  • The experimental units are the individuals on whom an experiment is performed.

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