Question: Samples of three materials under consideration for the housing of
Samples of three materials under consideration for the housing of machinery on a seagoing vessel are tested by means of a salt-spray test. Any sample that leaks when subject to a power spray is considered to have failed. The following are the test results:
Use a suitable statistical computer program to test at the 0.05 level of significance if the three materials have the same probability of leaking in this test.
Answer to relevant QuestionsModify the critical regions on pages 365 and 366 so that they can be used to test the null hypothesis λ = λ0 against the alternative hypotheses λ > λ0, λ < λ0, and λ ≠ λ0 on the basis of n observations. Here λ is ...Using the data of Exercise 14.100, In exercise (a) Create a new variable, x1x2. (b) Fit a surface of the form (c) Find the correlation matrix of the four independent variables. Is there evidence of multicollinearity? (d) ...Making use of the fact that = y – β and β Sxy/Sxx , show that Derive a (1 – α) 100% confidence interval for µY|x0, the mean of Y at x = x0, by solving the double inequality –tα/2,n–2 < t < tα/2, n–2 with t given by the formula of Exercise 14.23. If b is the column vector of the β’s, verify in matrix notation that q = (Y – Xb)'(Y – Xb) is a minimum when b = B = (X'X)–1(X'Y).
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