TEST OF HYPOTHESIS INVOLVING THE POPULATION MEAN 𝝁 WHEN THE VARIANCE IS UNKNOWN

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SUMMARY

The discussion centers on analyzing attrition rates among customer service representatives, specifically evaluating whether the average monthly attrition exceeds 10. A sample of 20 months of attrition data was collected, with values ranging from 6 to 15. The president's proposal to enhance salary, compensation, and professional development hinges on this statistical analysis. The data is assumed to follow a normal distribution, which is critical for applying hypothesis testing methods.

PREREQUISITES
  • Understanding of hypothesis testing and population mean analysis
  • Familiarity with normal distribution assumptions
  • Knowledge of statistical software for data analysis (e.g., R or Python)
  • Basic skills in interpreting statistical results and significance levels
NEXT STEPS
  • Learn how to conduct a t-test for the population mean when variance is unknown
  • Explore the use of R or Python for statistical analysis of attrition data
  • Research methods for improving employee retention in customer service roles
  • Study the implications of normality in statistical hypothesis testing
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Human resource analysts, statisticians, and business managers focused on employee retention strategies and data-driven decision-making.

What is the null and alternative hypothesis???

  • H_0 = u = 9 ; H_\alpha = u > 9

  • H_O = u \geq 10 ; H_\alpha = u < 10

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bunnypatotie
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1. You are working in a company facing attrition problems of the customer service representatives for the past five years. The company president proposed that if the attrition rate is at least 10 per month, then the salary scale, compensation package, and professional development programs for employees will be initiated. For this purpose, attrition rates for 20 months selected at random were considered and listed below. Assume that the data follow normality.
8 9 12 10 6 15 14 11 8 10 10 12 15 11 12 7 14 14 7 11
​
 
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bunnypatotie said:
1. You are working in a company facing attrition problems of the customer service representatives for the past five years. The company president proposed that if the attrition rate is at least 10 per month, then the salary scale, compensation package, and professional development programs for employees will be initiated. For this purpose, attrition rates for 20 months selected at random were considered and listed below. Assume that the data follow normality.
8 9 12 10 6 15 14 11 8 10 10 12 15 11 12 7 14 14 7 11
​
Why is this a poll? There should be an unambiguous answer. That's why you are asking, isn't it?

Please show us what you've been able to do with this so far.

-Dan
 

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