1 Here are boxplots of the number of calories in 20 brands of beef hot dogs 17 brands of meat hot dogs and 17 brands of poultry hot dogs i 3 Points These boxplots show that circle the best answer a b c d all the poultry hot dog brands have fewer calories than the median for the beef hot dog brands more than half of the poultry hot dog brands have fewer calories than the lower quartile for the beef hot dog brands hot dog type beef meat or poultry is not helpful in predicting calories because some hot dogs of each type are high in calories and some of each type are low in calories none of the poultry hot dog brands have more calories than the median of the beef hot dog brands ii 3 Points What is the median for the beef hot dog brands Circle the best answer a b c d e f 108 145 155 180 191 the median is not displayed in the boxplot iii 4 Points What is approximately the IQR for beef hot dogs Show your work below iv 3 points What is the unit of measure of the IQR you reported above 2 2 3 Points The main advantage of boxplots over stem and leaf plots and histograms is circle the best answer a b c d boxplots make it easy to compare several distributions boxplots show more detail about the shape of the distribution boxplots use the five number summary whereas stem and leaf plots and histograms use the mean and standard deviation boxplots show skewed distributions whereas stem and leaf plots and histograms show only symmetric distributions 3 3 Points The box in any boxplot marks circle the best answer a b c d e the full range covered by the data the range covered by the middle half of the data the range covered by the middle three quarters of the data the span one standard deviation on each side of the mean the span two standard deviations on each side of the mean 4 3 Points You want to make a graph that shows how the cost of one gallon milk has increased since 1980 A good choice for that graph would be a circle the best answer a b c d e bar graph histogram time plot pie chart stem and leaf plot 5 3 Points When doing a Goodness of Fit Test for normality we examine a p value produced by statistical software Which of the p values below would cause us to conclude our data are not nearly normal Circle the best answer a b c d e 0 100 0 010 0 363 0 500 0 995 3 6 In the game of American Baseball each player on a team has an individual batting average And each team has an overall team batting average the average of the individual players batting averages The Red Sox have a team batting average of 0 280 with a standard deviation of 0 010 The Yankees have a team batting average of 0 300 with a standard deviation of 0 008 Kevin Youkilis a player for the Red Sox has a personal batting average of 0 300 and Derek Jeter a player for the Yankees has a personal batting average of 0 315 i 3 points What is the Z score for Kevin Youkilis ii 3 points What is the Z score for Derek Jeter iii 4 points Which player s batting average is more unusual relative to their own team s overall batting average Briefly explain your answer 4 7 It is standard practice for companies that fill bottles with liquid for retail sale to slightly overfill such bottles on average i e put a bit more product in the bottle on average than what the label says is in the bottle The actual amount of water dispensed into Kroger Spring Water bottles advertised to have 16 9 fluid ounces of water is a characteristic that is approximately normally distributed with a mean of 16 98 oz and a standard deviation of 0 05 oz i 4 points Approximately what percent of these bottles would you expect to have more than 17 03 fluid ounces of water Use the 68 95 99 7 rule to help you provide an approximate answer ii 6 points Of particular interest to the Consumer Protection Agency is when a significant percentage of bottles have less than the advertised amount Approximately what percent of these bottles would you expect to have less than 16 9 fluid ounces Without access to a computer or statistical tables you can t give a single number for your answer here Using the 68 95 99 7 rule provide as small an interval as you can that contains the answer to this question Fill in the blanks below and also show your work and or your reasoning below The answer is greater than but less than 5 8 3 Points One professor uses the website PayPal to make online payments for bills invoices eBay auctions etc Below is a random sample of 15 transactions Above each of the six columns write a C if that variable is categorical Q if that variable is quantitative or I if that variable is an identifier variable 9 For each variable below circle EACH item which can be used to graphically display the distribution i 3 Points A quantitative variable such as the of text messages Stat 201 students sent yesterday a c e Bar Chart Pie Chart Stem and Leaf Plot b Boxplot d Swing Plot f Histogram ii 3 Points A categorical variable such as cell phone provider of Stat 201 students a c e Bar Chart Pie Chart Stem and Leaf Plot b Boxplot d Swing Plot f Histogram 10 3 Points A survey intended to be administered to people throughout the United States contained the following question How long do you exercise each day The data that results from this question may not be useful because circle the best answer a people may report different units of measure b some people might include time walking around and other might not c some people may exaggerate how long they exercise and others might not d some people may kiddingly report outrageously large values just to be funny e all of the above 6 11 Fourteen students who recently took the bar exam after finishing law school reported to the testing agency how many hours per week they had spent studying during the five weeks just prior to the test The scores are reported on a scaled percentage with scores closer to 100 indicating a greater grasp of the material A score of 70 is needed to pass the state bar exam A correlation coefficient of 797 is obtained between study hours X and score Y The corresponding scatter plot is below a 6 points List the 3 conditions that must be checked when doing correlation For each condition indicate whether or not you believe the condition is met in this case and briefly explain why you believe that Condition 1 is Is condition 1 met …
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