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Which of the following is NOT true? a) Smoking mothers volumes would have a larger IQR than that of non-smoking mothers b) For smoking mothers, there is more variability in the top 25% than there is in the bottom 25% c) The median would be the best measure of center for the non-smoker data d) The standard deviation would be the best measure of spread since were dealing with samples C. Suppose you wanted to create a graph/plot to see if the milk volumes were related to the mothers daily sugar intake (in milligrams). Which of the following graphs would accomplish this? a) bar graph b) histogram c) pie chart d) scatterplot e) stemplot 2. The average caloric content of a Starbucks Venti Caramel Macchiato (with regular milk) is 380, and the standard deviation of 12 calories. For the Venti Caffe Mocha, the average is 490 calories, and the standard deviation is 14 calories. Calculate the Z scores for a 390 calorie Macchiato and a 500 calorie Caffe Mocha.   2b. Which would be more unusualthe 390 calorie Macchiato or the 500 calorie Mocha? Or would they be equally unlikely because both are 10 calories above their respective means? 3. Fourteen different second-year medical students measured the blood pressure of the same person. The systolic readings were: 125 130 151 142 142 130 137 122 134 122 130 130 145 143 From this data, we end up with the following 5# summary: min: 122 Q1: 130 Q2: 132 Q3: 142 max: 151 Based on this information, use the 1.5 X IQR criterion to establish the lowest and highest values that would not be considered outliers. In other words, find the cutoff values for identifying outliers. 3b. Based on the 5# summary, does this variables distribution appear to be symmetric, skewed left, or skewed right? 4. A particular universitys faculty is 35% female and 65% male. Suppose you randomly select 5 faculty members to serve on a committee. What is the probability that all 5 selected are female? Whats the probability that at least one is a female? 5. When someone buys a life insurance policy, they pay an annual premium to own the policy. Then, if they should die, the insurance company pays the beneficiary the policy amount. For a particular company, a policy for a 20-25 year old is $400 per year. If the insured person dies, the beneficiary gets $20,000. It is known that a 20-25 year old has a probability of .001 of dying this year. A. Let X represent the insurance companys net profit on any insured client. Develop the probability distribution.  X  P ( X ) B. Using the distribution above, calculate the E(X). C. Based on the result from part B, is the insurance company charging enough for this policy to ensure a profit? 6. Below is a table summarizing the results from a study that tested the blood type and Rh factor for 100 people (your Rh factor determines whether your blood type is positive or negative). ABABOTotalsRh+35843986Rh-521614Totals4010545100 A. Suppose you randomly select one person from the study. What is the probability that they are either  Type O blood or are Rh positive? B. Now, suppose you randomly select 2 people from the study (without replacement). What is the probability that the first person is Rh positive and the second is Rh negative?  C. Given that you randomly select someone with Type A blood, what is the probability they are A-  (A negative)? D. If you were to randomly select someone who was Rh+, which of the following would be the most likely? a. They are Type A b. They are not Type O c. They are not Type AB d. They are Type AB or Type O E. If you randomly select someone from the study, what is the probability that they are Rh+ and Type A?  KEY: 1. d, d, d 2. Z=.83, Z=.71, Macchiato 3. 112 and 160, skewed right 4. .005, .884 5. X: 400 -19,600 E(X)=$380, yes 6. .920, .122, .125, c, .350 Macchiato Z-score: Caffe Mocha Z-score:   026  " # $ % & ' q r z , - ; < % & ] _ ` } > ? 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