Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 46 people, the mean body mass index (BMI) was 28.7 and the standard deviation was 6.05. A. Use a t-distribution because the sample is random, n 230, and o is unknown. O B. Use a normal distribution because the sample is random, the population is normal, and o is known. O C. Use a t-distribution because the sample is random, the population is normal, and o is unknown. O D. Use a normal distribution because the sample is random, n 2 30, and o is known. O E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n