In the following questions, find the test statistic and give the appropriate conclusion for the hypothesis test. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributiona are relatively normal. Give your answers to 4 decimal places. Test H0: μ1=μ2 vs Ha: μ1< μ2 using the sample results x¯1=6.55, s1=5.9, with n1=36 and x¯2=10, s2=5.6, with n2=98. Test statistic: t=  The p-value for this test is 0.0018. What is the appropriate conclusion? Use α=0.05. i. Reject H0H0     ii. Fail to reject H0H0

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In the following questions, find the test statistic and give the appropriate conclusion for the hypothesis test. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributiona are relatively normal. Give your answers to 4 decimal places.

  1. Test H0: μ1=μ2 vs Ha: μ1< μ2 using the sample results x¯1=6.55, s1=5.9, with n1=36 and x¯2=10, s2=5.6, with n2=98.
    1. Test statistic: t= 
    2. The p-value for this test is 0.0018. What is the appropriate conclusion? Use α=0.05.
      i. Reject H0H0     ii. Fail to reject H0H0

     

  2. Test H0:μ1=μ2 vs Ha:μ1≠μ2 using the sample results x¯1=15.54, s1=8.9, with n1=18 and x¯2=18, s2=8.1, with n2=96.
    1. Test statistic: t= 
    2. The p-value for this test is 0.2871. What is the appropriate conclusion? Use α=0.05.
      i. Reject H0H0     ii. Fail to reject H0
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