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.