Q3 Hand-written Problem 7 Points As part of a study of the treatment of anemia in cattle, researchers measured the concentration of selenium X in the blood of 36 cows of the same breed who had been given a dietary supplement of 2 mg/day of selenium for one year. The sample mean selenium concentration was calculated to be x = 6.21 mg/dl. Q3.1 Assuming that X is normally distributed with a population standard deviation of 1.84 mg/dl, construct a symmetric 70% confidence interval for the true mean selenium concentration in this breed of cow. Show your work and express your result to 2 decimal places. Include a concluding statement interpreting your confidence interval in the context of the question. [Hint: You may optionally use R qnorm(2 , 0, 1, lower.tail = FALSE) to find Z ; ] Q3.2 Construct a symmetric 90% confidence interval for the true mean selenium concentration. Show your work and express your result to 2 decimal places. Include a concluding statement interpreting your confidence interval in the context of the question. [Hint: You may optionally use R qnorm( 2 , 0, 1, lower.tail - FALSE) to find Z; ] Q3.3 Compare the confidence interval from (3.1) with the confidence interval from (3.2). Explain the difference between the two