Drawn from the same population; Sample size>30; Population std is known

This is a test for difference of two means obtained from Same populations

  • Null Hypothesis H0 : µs1 = µs2
  • Alternative Hypothesis H1 : µs1 ≠ µs2
  • µA:Mean of product obtained from Sample1 = 75.4
  • µB:Mean of product obtained from Sample2 = 74.3
  • σ2: Variance of product (Population)= 60 Sample
  • Sample 1 Size =300
  • Sample2 size = 200
  • Test significance level = 5%
  • Z-table for 0.05 = 1.96 (two-tailed test)
  • Z Calculated value must be greater than Z-table value to reject the Null hypothesis

Conclusion:

The calculated value (Z = 0.201) is less than tabulated value (Z = 1.96) and it falls outside the rejection region.  We accept the Null Hypothesis. That test reveals that the means of products are not significantly different. Both the means are equal only

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