Problem 1 : A random sample of the weights of 10 pink salmon fished in Michigan lake, was recorded to be as follows in kilograms: 9.57, 5.63, 7.42, 9.75, 4.48, 5.53, 4.86, 3.28, 4.96, 3.76.

(a) If one asks you about the average weight of salmon population in the lake with a 95% confidence level, what would you answer to one's question be, using statistical inference?

(b) Determine a 90% confidence interval for the standard deviation for pink salmon population in the aforementioned lake.