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 *** 29 23.18 30-39 26 38 22 26.72 34.24 30.86 40-49 33 32 72 82 219 44.15 50.88 65.20 58.77 81 65.92 106 86 97.36 50-59 327 54 87.75 75.97 Total 151 749 ** 223 201 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. a) Name the random variables present in the table above. b) Carefully define the null and altemative hypotheses of the Chi Square test underlying the generation of the above table. c) Fill in the gaps marked by *, **, **, ********** and d) What is the assumption on which these calculations are based? e) What is relevance of the statement" No cells with expected counts less than 5"

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 * 29 23.18 30-39 26 38 22 26.72 34.24 30.86 40-49 33 32 72 82 219 44.15 50.88 65.20 58.77 81 65.92 106 86 97.36 50-59 327 54 87.75 75.97 Total 151 749 223 201 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. a) Name the random variables present in the table above. b) Carefully define the null and altemative hypotheses of the Chi Square test underlying the generation of the above table. c) Fill in the gaps marked by *, , , ********** and d) What is the assumption on which these calculations are based? e) What is relevance of the statement" No cells with expected counts less than 5"

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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