Each year you go fishing while on vacation Youve been told t

Each year you go fishing while on vacation. You\'ve been told that this year the population of white bass weigh a mean of 1.40 kg and a standard deviation of 0.34 kg. Today, though, you caught 9 bass that seem suspiciously hefty. Your statistician fishing buddy weighs them and tells you that the mean weight of your catch is in the top one percent of the sampling distribution of the mean for this year\'s white bass.

What does that tell you about the how heavy your nine bass are, on average? Specifically, what is the smallest mean weightfor your catch that fits the criteria above? Report the weight (without units) below.

Bonus thought question (just answer in your head): Do you think the fish you caught are likely to be white bass?

Solution

1. z(0.99) = 2.32 let smallest weight = x z=(x-mean)/(sd/sqrt(n)) 2.32=(x-1.4)/(0.34/3) x =1.4+2.32*0.34/3 = 1.66 ans is 1.66