A biologist wishes to estimate the mean length of Alaskan king salmon. The researcher collected 8 Alaskan king salmon and measured their lengths. The lengths (in inches) are listed below. 33.8 29.1 42.1 40.3 38.2 41.2 38.6 42.5 Use the sample to construct a 90% confidence interval for the mean length of all Alaskan king salmon. (12 points) a. Compute the margin of error, E. Round to 3 decimal places. Show the calculation. b. Give the 90% confidence interval. c. Interpret your confidence interval in context