1 3 Points One of the following statements is incorrect Which one is it Circle the incorrect statement a b c d e 2 One should summarize the spread of a skewed distribution with the IQR For a left skewed distribution the mean is smaller than the median For a right skewed distribution the mean is larger than the median The mean is a resistant measure of the center of a distribution A histogram displaying a uniform distribution will have no clear mode Consider the following small data set 3 9 4 11 2 0 These data were analyzed in JMP and the following output was produced Use the data set and or the JMP output to help you calculate the following quantities i 3 Points Mean ii 3 Points Median iii 3 Points IQR iv 3 Points s2 2 3 6 Points Research exists that states that the darker a person s hair color the higher their IQ Five people are selected with 5 different hair colors and given an IQ test The results are displayed in the scatterplot below Does the scatterplot pass the three correlation conditions List each condition and briefly comment on whether or not the condition is met 4 7 Points In the cells above each column indicate whether each column represents an identifier variable I a categorical variable C or a quantitative variable Q SS Number Gender 111 11 1111 999 00 0000 123 45 6789 987 65 4321 1 1 2 1 Gross Income 44123 18242 77146 52171 State County Zip Code Age TN WV CA PA Knox Kanawha Lassen Adams 37920 25306 96109 17316 37 22 61 28 3 5 A group of 17 graduate students volunteered to participate in a study to determine the impact that beer consumption has on Blood Alcohol Content BAC The data are displayed in the following scatterplot 0 2 0 15 0 1 0 05 0 0 1 2 3 4 5 6 7 8 9 10 Beers i 2 Points The direction of the relationship between number of beers and BAC is Circle the best answer Non existent negative positive ii 2 Points Circle the point on the scatterplot that represents the person that had 3 beers and a BAC of 0 14 iii 2 Points The correlation coefficient r is 7460 If the observation you circled from part ii was removed what would happen to r Circle the best answer r would stay the same r would increase r would decrease 4 6 An experiment was performed on several grass plants from Quebec and Mississippi In each case the CO2 uptake in the grass plants was measured Use the provided box plots of these data to answer the following questions In each case circle the best answer i 2 Points The distribution for the Quebec group appears to be Symmetric Skewed Left Skewed Right ii 2 Points The distribution for the Mississippi group appears to be Symmetric Skewed Left Skewed Right iii 2 Points Which distribution has the smallest IQR Quebec Mississippi They have very similar IQR s iv 2 Points Which distribution has the largest range Quebec Mississippi They have very similar ranges v 2 Points Which distribution appears to have outliers Quebec Mississippi Neither Both vi 2 Points Which distribution appears to have the largest median Quebec Mississippi They have very similar medians 5 7 A survey was conducted to determine how often people eat fruits and vegetables in a given day The data are given below and are broken down by education level Education Level How many times do you eat fruits and vegetables each day Less than 3 3 or more times times per day per day Total Less than HS 562 103 665 HS GED 1322 383 1705 Some post HS 1143 425 1568 368 1132 College Graduate Total 3791 5070 i 3 points Fill in the two missing boxes above ii 3 points What percent of those surveyed eat fruits and vegetables less than 3 times per day iii 3 points What percent of those who reported they had less than a HS education eat fruits and vegetables 3 or more times per day iv 3 points What percent of those surveyed have some post HS education and eat fruits and vegetables 3 or more times per day v 3 points What percent of those who reported they eat fruits and vegetables less than 3 times per day have only a high school diploma GED 6 8 A survey was conducted of 500 students to determine what time of day they prefer to study i 2 Points Based on the following chart does there appear to be a relationship between gender and the preferred study time Circle one Relationship No Relationship ii 4 Points Briefly explain why you answered part i above the way you did 7 9 3 Points The average NCAA basketball player made 68 8 of their free throws last season I made 60 of my free throws last season Assume the distribution of this characteristic for NCAA basketball players is approximately normal Explain why without any further information I am unable to calculate what percent of NCAA basketball players I shoot better than from the free throw line even if I had access to the Normal Curve Calculator on the internet Limit your explanation to 2 or less sentences 10 Tylenol Extra Strength reports that their pills are 500mg This is not exact in fact the weight of the pills as initially manufactured is normally distributed with a mean of 500mg and standard deviation of 2 7mg Tylenol carefully inspects the size of the pills it produces because if pills are too small customers complain that it does not work but if they are too large the pills could be dangerous Because of this Tylenol rejects does not package or sell any pill that is below 494 55mg or above 505 35 mg i 4 points Out of 10 000 pills initially manufactured approximately how many would you expect to be rejected 8 Problem 10 Continued ii 5 points Suppose Tylenol wants to be more cautious and only sell the best 75 of pills they initially manufacture the 75 of pills initially manufactured closest to 500mg Use the applet below to help you calculate the range of weights in mg that would be acceptable to sell based on the new standard 9 Problem 10 Continued iii 5 points Approximately what percent of pills initially manufactured weigh less than 496mg Using only the 68 95 99 7 rule provide as narrow an interval that you can that contains the answer to this question Fill in the blanks below Also show your work below The answer is less than but greater than 10 11 Interpret the results of the following tests for normality Please note that parts i and ii do not correspond to the same dataset i e your conclusions may differ i 3 points Based on the normal probability plot below would you conclude that the assumption of normality holds Circle one YES NO Why or why not Provide a brief explanation 2 33 1 64 1 28 0 67 0 0 0 67 …
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