The human resource manager at a car dealership wants to know if the ages of its employeesare related to the department that they work in. Data was compiled and tabulated in a 2-waycontingency table. The employees were classified according to their age and department.Expected counts are printed below observed countsSalesAccounts Marketing Repairs Total20-291027438817.7426.2023.62**30-392926382223.1826.7234.2430.8640-493332728221944.1550.8865.2058.778110675.9750-59865432765.9297.3687.75Total151**223201749 Chi-Sq5.348 +**** +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 = 80.395DF = *****, 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 alternative hypotheses of the Chi Square test underlying thegeneration of the above table.c) Fill in the gaps marked by **, ** **** ****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."f) Do the records suggest a relationship or independence between age and department for theemployees of this car dealership at the 5% significance level? Give reason(s) for your answer.******* and *******

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a) b) Durbin-Watson test is a procedure which is utilised to check whether the errors ('s) on a time series data are positively autocorrelated or not. Briefly explain the three conditions used to determine the significance of the test. Clearly state the conclusion on each condition. What is meant by saying the least squares estimators are BLUE and under what conditions are the least squares estimators BLUE?
Suppose that a statistics teacher asks his students to each randomly pick one of the numbers 0, 3, 5, 7. His general theory is that the proportion who pick the number 0 will be less than what would be expected from random selection. Use p to represent the population proportion that would pick the number 0. (a) What is the specific value of p that corresponds to true random selection? p = (b) In terms of p, write null and alternative hypotheses for this situation. Ho Ha: P <
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a) Name the random variables present in the table above. b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table. c) Fill in the gaps marked by * *** **** and *****

a) Name the random variables present in the table above. b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table. c) Fill in the gaps marked by * * and ***