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1. The strength of five types A, B, C, D and E of fibre-board were being compared. Four boards

of each type

were tested. The modulus of rupture of each of the 20 boards is given in the

following table:


A B C D E

619 424 392 462 465

674 525 494 559 568

633 549 441 556 613

622 601 457 611 611


(a) Use Bartlett's test to determine if the within board variances are significantly

different ( = 0.05).

(b) Perform analysis of variance and draw your conclusions ( = 0.05).

(c) Use Bonferroni's Multiple Comparison Test, with a 0.05 level of significance, to

compare the means. Discuss your results.

(d) Calculate 95% confidence limits for the difference of means D and E.

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