Question

A machine that puts corn flakes into boxes is adjusted to put an average of 15...

A machine that puts corn flakes into boxes is adjusted to put an average of 15 ounces into each box, with standard deviation of 0.24 ounce. If a random sample of 13 boxes gave a sample standard deviation of 0.36 ounce, do these data support the claim that the variance has increased and the machine needs to be brought back into adjustment? Use a 0.01 level of significance. Assume volume in boxes is normally distributed.

Classify the problem as one of the following: Chi-square test of independence or homogeneity, Chi-square goodness of fit, Chi-square for testing σ2 or σ.

Chi-square goodness of fitChi-square for testing σ2 or σ    Chi-square test of homogeneityChi-square test of independence

(i) Give the value of the level of significance.

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