8. (a) Consider a two-factor factorial experiment used to investigate the effect of pH and
catalyst concentration on product viscosity (cSt). The data are as follows:

Test the main effects and interactions using ० = 0.05. What are your conclusions?

(7.5 marks)

(b) Consider the following data, where the cost accountants have collected information on
overhead expenses and the units produced at different plants:

(i) Develop an estimating equation that best describes these data.

(ii) Find the coefficient of determination and interpret it.
(iii) Calculate the standard error of estimate.
(iv) Predict overhead when 50 units are produced.

(7.5 marks)

9. (a) In fifteen randomly selected retail shops, incremental daily sales in thousands of
rupees using two different selling strategies are summarized:

| 40 | 42 [52 57 | 72 | 63 | 39 | 44 | 64 | 67 [73 80 | 90 |

Check whether the two samples are from the populations with the same median at a
significance level of 0.01. (7.5 marks)

(b) Explain the following with respect to cluster analysis:
(i) Euclidean Distance; (ii) Clustering algorithm; (iii) Dendrogram

(7.5 marks)

aK

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