# Question

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.

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 Questions

Modify 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).Post your question

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