The contingency table in Exercise 40 shows counts of the sizes of shirts bought in three styles in a retail store. (a) Find the value of chi-squared and Cramer’s  for this table. (b) Interpret these...

The contingency table in Exercise 40 shows counts of the sizes of shirts bought in three styles in a retail store.

(a) Find the value of chi-squared and Cramer’s
 for this table.

(b) Interpret these values. What do these tell you about the association in the table?

Exercise 40

Mens Shirts A men’s clothing retailer stocks a variety of men’s shirts. The data for this question record the type of sales during the last three months, indicating shirt style and size. (You should recognize these data!)

(a) Find the contingency table defined by the size and type of shirt. Include the marginal distributions.

(b) Find the conditional distribution of sizes of polo shirts.

(c) Find the conditional distribution of the styles of large shirts.

(d) How should the manager in charge of stocking the store use this table?