Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2  n1=n1= 938  n2=n2= 862  μ1=μ1= 56.6  μ2=μ2= 58.9 σ1=σ1= 6 σ2=σ2= 8.7 Test the claim: Given the null and alternative hypotheses below, conduct

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Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed.

Sample 1 Sample 2
 n1=n1= 938  n2=n2= 862
 μ1=μ1= 56.6  μ2=μ2= 58.9
σ1=σ1= 6 σ2=σ2= 8.7

Test the claim:

Given the null and alternative hypotheses below, conduct a hypothesis test for α=0.05

H0H0: μ1=μ2
HaHa: μ1<μ2

 

  1. Determine the test statistic. Round to four decimal places.
    z=

  2. Find the pp-value. Round to 4 decimals.
    pp-value = 

 

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