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A random sample of 5 trout was caught from a lake, and the lengths (in inches) of the trout were recorded: 12 10 11 9 13 It is known that the random variable x, that represents the 'length (in inches) of a trout', is approximately normally distributed. Find a 95% confidence interval for the population mean length of all trout in this lake. a. Show that the sam -1e mean len- h of the trout was cau-ht from the lake is: f = 11. b. Complete the table below. Show the sample standard deviation of above 5 rainbow trout is: s z 1. 58. c. Find a 0.95 confidence interval for the population mean length n . What is the value of margin of error