In a certain lake, trout average 12 in. in length with standard deviation 2.75 in. and the bass average 4 lb. in weight with standard deviation 0.8 lb. If Deion caught an 18-in trout and Keri caught a 6-lb bass, which fish was the better catch?

The bass fish was the better catch

Step-by-step explanation:

From the question we are told that

     The  population mean for trout is  

     The  standard deviation is  

      The  population mean for  base  is  

      The standard deviation is  

      The number of  trout caught  

     The number of  bass caught  

Generally z-value(standardized value ) for the of number  trout caught  is mathematically represented as

substituting value

Generally z-value(standardized value ) for the of number  bass caught  is mathematically represented as

substituting value

From our calculation we see that  

The  fish that was the better catch is the bass fish

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled