Question

The following information was obtained from independent random samples. Assume normally distributed populations with equal variances....

The following information was obtained from independent random samples. Assume normally distributed populations with equal variances. Sample 1 Sample 2 Sample Size 10 12 Sample Mean 52 51 Sample Variance 85 90 We are interested in testing H0: μSample 1 - μSample 2 = 0 Ha: μSample 1 - μSample 2 ≠ 0 Step 1 of 3: What is the value of the test statistic? Round your answer to four decimal places.

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Answer #1


                                  
The pooled estimator of the sample variance                                  


=87.75      
The pooled estimator of the sample standard deviation=9.37      
                                  
T test formula for mean difference.(Variances unknown and equal)                                  


=0.2493                                  
  

Therefore, the value of the test statistic =0.2493

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