Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and standard deviation 5 (information in the article Mathematical Model of Chloride Concentration in Human Blood, J. of Med. Engr. and Tech., 2006: 2530, including a normal probability plot as described in Section 4.6, supports this assumption). a. What is the probability that chloride concentration equals 105? Is less than 105? Is at most 105? b. What is the probability that chloride concentration differs from the mean by more than 1 standard deviation? Does this probability depend on the values of m and s? c. How would you characterize the most extreme .1% of chloride concentration values?

Lecture 08/30/17 → Chapter 2: Graphs and Descriptive Statistics ← Listed Form: 3,4,7,9,10,10,10,14,15,17,17,19,20,20,20 Grouped (Frequency) Form: 3 | 1 4 | 1 7 | 1 9 | 1 10 | 3 14 | 1 15 | 1 17 | 2 19 | 1 20 | 3 ———— 15 Interval (Frequency) Form: Class: 3-9 10-16 17-23 LCL - UCL Lower Class Limit - Upper Class Limit LCB = LCL - tol/2 UCB = UCL + tol/2 Class Width: Length + 1 of the class so 7-7-7 Class Midpoint = (UCL + LCL)/2 9+3 = 12/2 = 6 10 + 16 = 26/2 = 13 17 + 23 = 40/2 = 20 Frequency: 4 5 6 —— 15 Sigma = Sum Ef = 15 = n (Sample Size) Tolerance = LCL of next class - UCL of previous class. Relative frequency = F/total f Symmetric = Bell-shaped Left-Shewed = left bell Right-Shewed = right bell Outliers = data that don’t ac