Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.) H0: µ1 ≤ µ2 HA: µ1 > µ2 The sample means for the two populations are shown as follows: sample mean 1 = 144,  sample mean 2 = 129 population standard deviation 1 = 11,  population standard deviation 2 = 16 sample size 1 = 40, sample size 2 = 50 Answer:  Decision Rule : Reject H0 if  Zcal > citical value Z =   Test statistic: (Z calculated) Zcal =    (use 4 decimal places) Conclusion:    H0.

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Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.)

H0: µ1 ≤ µ2

HA: µ1 > µ2

The sample means for the two populations are shown as follows:

sample mean 1 = 144,  sample mean 2 = 129

population standard deviation 1 = 11,  population standard deviation 2 = 16

sample size 1 = 40, sample size 2 = 50

Answer: 


Decision Rule : Reject H0 if  Zcal > citical value Z =  
Test statistic: (Z calculated) Zcal =    (use 4 decimal places)
Conclusion:    H0. 

 

 

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