NOTE: There is not any data for these questions, so no data analysis required.Answer all questions based on the given scenarios.

Experimental Unit: The physical entity to which the treatment is randomly assigned or the subject that is randomly selected from one of the treatment populations (page 35 in our text).

Question 5

Scenario

An agricultural experiment station is investigating the appropriate planting density for three commercial varieties of tomatoes: celebrity, sunbeam, and trust.The researcher decides to examine the effect of four planting densities: 5, 20, 35, and 50 thousand plants per hectare.The experiment station has three large fields that would be appropriate for the study.At each of the fields, plots are prepared, and the treatments are randomly assigned to the plots.A separate randomization is done at each of the three fields.The yield, in tons, is measured for each of the 36 one hectare plots.

(a)What is the treatment structure?

(b)List all treatments:

(c)What is the experimental unit?

(d)What is the design structure?

Question 6

Scenario

A temperature-acceleratedlife test was performed on a type of sheathed tubular heater.Six heaters were tested at each of four temperatures: 1520 , 1620 , 1660 , and 1708 . The number of hours to failure was recorded for each of the 24 heaters in the study.

(a)What is the treatment structure?

(b)List all treatments:

(c)What is the experimental unit?

(d)What is the design structure?