Refer to Exercise 17.22. a. If the five investigators are considered to be a fixed effect, what…

Refer to Exercise 17.22.

a. If the five investigators are considered to be a fixed effect, what are the hypotheses being tested, and what conclusions can be drawn if the null hypothesis is rejected? State your answer in terms of a parameter(s) reflecting the difference in the propellants.

b. If the five investigators are considered to be a random effect, what are the hypotheses being tested, and what conclusions can be drawn if the null hypothesis is rejected? State your answer in terms of a parameter(s) reflecting the difference in the propellants.

Exercise 17.22

Refer to Exercise 15.22. Suppose that we consider the five investigators to be a random sample from a population of all possible investigators for the rocket propellant experiment.

a. Write an appropriate linear statistical model, identifying all the terms and listing your assumptions.

b. Perform an analysis of variance. Include an expected mean squares column in the analysis of variance table.

Exercise 15.22

An experiment compares four different mixtures of the components oxidizer, binder, and fuel used in the manufacturing of rocket propellant. The four mixtures under test, corresponding to settings of the mixture proportions for oxide, are shown here.

To compare the four mixtures, five different samples of propellant are prepared from each mixture and readied for testing. Each of five investigators is randomly assigned one sample of each of the four mixtures and asked to measure the propellant thrust. These data are summarized next.

a. Identify the blocks and treatments for this experimental design.

b. Indicate the method of randomization.

c. Why would this design be preferable to a completely randomized design?

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