Suppose the avemge number of returns processed by employees of a tax preparation service during tax season is 1 1 per day with a standard deviation of 6 per day. Amndom sample 01 36 employees taken during tax season revealed the number of returns processed daily shown below. Use these data to answer parts a through c. 13 17 12 8 1O 16 11 11 16 15 16 13 B 8 23 11 13 165I 9 B 9 17 17 9 17 9 9 14 15 5 4 24 9 9 21 a. What is the probability 01 having a sample mean equal to or smaller than the sample mean for this sample it the population mean is 11 processed returns daily with a standard deviation of 6 returns per day? The probability is (Round to tour decimal places as needed.) b. What is the probability 01 having a sample mean larger than the sample mean for this sample if the population mean is 11 processed returns daily with a standard deviation 016 returns per day? The probability is . (Round to tour decimal places as needed.) c. Explain how it is possible to answer parts a and b when the population distribution ot daily tax returns at the tax firm is not known. Choose the correct answer below. 7 A. All data are normally distributed. Thus. the distribution at the sample means will be approximately normal. 7 B. The Central Limit Theorem can be applied because the sample size is sutciently large. Thus, the distribution otthe sample means will be approximately normal. A C. The Central Limit Theorem can be applied because the sample size is not large. Thus. the distribution of the sample means will be approximately normal. 7 D. The Central Limit Theorem can be applied because the sample size is sufficiently large. Thus, the distribution otthe sample means will be either skewed to the left or skewed to the right