Use the Empirical Rule to answer the following questions about the length of pregnancies in humans. The length of the human pregnancy is not fixed. It is know that it varies according to a distribution that is roughly normal, with a mean of 266 days and a standard deviation of 16 days. 1) What is the mean? = 2) What is the standard deviation? = 3) What is the raw data value (-value) that corresponds with 1 standard deviation below the mean? _______ 4) What is the raw data value that corresponds with 1 standard deviation above the mean? ________ 5) What is the raw data value that corresponds with 2 standard deviation below the mean? _________ 6) What is the raw data value that corresponds with 2 standard deviation above the mean? _________ 7) What is the raw data value that corresponds with 3 standard deviation below the mean?_________ 8) What is the raw data value that corresponds with 3 standard deviation above the mean? ________ 9) Based on the information that is given, can you draw a rough estimate of what the histogram would look like? ________ 10) Approximately what percent of the pregnancies last between 250 and 282 days? _______ 11) The middle 95% of pregnancies last between approximately ________ and _________days. 12) Approximately what percent of the pregnancies last between 218 and 314 days? ________