Answer to Question #260947 in Statistics and Probability for bri

Question

The human resource manager at a car dealership wants to know if the ages of its employees are related to the department that they work in. Data was compiled and tabulated in a 2-way contingency table. The employees were classified according to their age and department. Expected counts are printed below observed counts Sales Accounts Marketing Repairs Total 20-29 8 10 27 43 88 17.74 *** 26.20 23.62 30-39 29 26 38 22 * 23.18 26.72 34.24 30.86 40-49 33 32 72 82 219 44.15 50.88 65.20 58.77 50-59 81 106 86 54 327 65.92 75.97 97.36 87.75 Total 151 ** 223 201 749 Chi-Sq = 5.348 + **** + 0.024 + 15.912 + 1.459 + 0.019 + 0.413 + 2.544 + 2.816 + 7.003 + 0.709 + 9.182 + 3.448 + 11.875 + 1.325 + 12.983 = 80.395 DF = *****, P-Value = ****** No cells with expected counts less than 5. e) What is relevance of the statement” No cells with expected counts less than 5.” [1]

Answer 1

The expected count for each cell would be the product of the corresponding row and column totals divided by the sample size.

So, if this number is less than 5, we don' t use it in calculations.

expected count for ***:

$E=\frac{(10+27+43+88)(27+38+72+86)}{749}=50$

So, there are no cells not satisfying the specific restriction.