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T test for employee absenteeism

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The mean (m) number of employee absences in company X is 6 days annually, according to previous studies conducted by the Human Resources Department.
Five years have passed without determining whether this mean continues to be the same. Therefore, the company's industrial psychologist selects a sample of 9 employees and determine the number of absences they have accumulated over a period of 12 months. He obtained a mean of 9 days, with a standard deviation of 1.658, using the following data:
In this problem, you will reach a conclusion about whether or not we can determine that the mean for employee absences has increased significantly. Before figuring your response, you must decide what hypothesis test you will use (for example, single sample t-test, dependent samples t-test, independent samples t-test, ANOVA, etc.) Then using the 5% level of significance, determine the following:

a. the null and research hypotheses

b. the comparison distribution used (for example, a t-distribution of 20 degrees of freedom, a t-distribution of 32 degrees of freedom, etc.) and whether the test is unilateral or bilateral

c. the cutoff score on the comparison distribution (for example, a t-critical or "cutoff t" of 1.5 etc.)

d. your sample's test score (for example, a t-score of 2.4)

e. your conclusion on whether to accept or reject the null hypothesis (you must show how the comparison of your cutoff score with your sample's test score leads to your conclusion).

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Solution Summary

The solution provides step by step method for the calculation of T test for employee absenteeism . Formula for the calculation and Interpretations of the results are also included.