A stock market analyst believes that the average price of two securities (Stock A and Stock B) are equal. The analyst does not know the population standard deviation of the two securities. The...

1. 
   

   A stock market analyst believes that the average price of two securities (Stock A and Stock B) are equal. The analyst does not know the population standard deviation of the two securities. The following information outlines the information for each sample:

   
   

Stock A Stock B

n₁ = 8 n₂ = 13

__ __

X₁ = $86 X₂ = $94

s₁ = $4 s₂ = $12

Assuming that the population variances are not equal, test the analyst’s claim at the 0.01 level and .05 level.