4.) A random sample of 29 rainbow trout caught at Brainard Lake, Colorado, had mean length = 12.3 inches with sample standard deviation = 2.7 inches. a.) Find a 95% confidence interval for the population mean length of all rainbow trout in this lake. (12 points) 5.) b.) Interpret the meaning of the confidence interval in the context of this problem. (2 points) A random sample of 89 students was interviewed, and 53 students said that they would vote for Jennifer McNamara as student body president. a.) Let p represent the proportion of all students at this college who will vote for Jennifer. Find a point estimate p for p. (3 points) b.) Find a 98% confidence interval for p. (12 points)