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Comparing the Performance: Standard Deviation

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A company is reviewing the performance of two different suppliers of toner ink as their intention is to compare them and possibly switch to the alternate one. Using the following data for hours of toner use before empty answer the following.

CURRENT SUPPLIER A ALTERNATE SUPPLIER B
Mean 501.7 495.3
Variance 102.3 20.1
Observations 20 20

a. Determine if the standard deviation of the Alternate Supplier B is significantly less than 5. Use alpha = 0.05.
b. Assuming that the variances of the two are not equal, test to determine if the Current Supplier A has more than 2 hours average hours of toner use than Alternate Supplier B. Use alpha = 0.05.
c. What is your recommendation to the company with respect to the supplier to select? Explain.

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The solution comprises of formulas and detailed step-by-step calculations for the given problem about standard deviation.

Solution provided by:
Anwesha Ghosh, MSc
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  • MSc, Osmania University
  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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