4. Critical Thinking Suppose you take a random sample from a normal population and you want to determine whether there is sufficient statistical evidence to claim that the population variance differs from a corresponding variance specified in a government contract. Which type of test is appropriate, a test of one variance or a test of two variances?

Before you solve Problems 5–14, first classify the problem as one of the following:

Chi-square test of independence or homogeneity Chi-square goodness of fit Chi-square for testing or estimating s2 or s F test for two variances One-way ANOVA Two-way ANOVA Then, in each of the problems when a test is to be performed, do the following:

(i) Give the value of the level of significance. State the null and alternate hypotheses.

(ii) Find the sample test statistic.

(iii) Find or estimate the P-value of the sample test statistic.

(iv) Conclude the test.

(v) Interpret the conclusion in the context of the application.

(vi) In the case of one-way ANOVA, make a summary table.