Question: 5. (3.5 #15 ) A student wanted to know whether Centrum vitamins dissolve faster than the corresponding generic brand. Thestudent used vinegar as aproxy forstomach

5. (3.5 #15 ) A student wanted to know whether Centrum vitamins dissolve faster than the corresponding generic brand. Thestudent used vinegar as aproxy forstomach acid and measured the time (in minutes) it took for a vitamin to completely dissolve . The results are shown next . Centrum Generic Brand 2.73 3.07 3.30 3.35 3.12 6.57 6.23 6.17 7.17 5.77 2.95 2.15 2.67 2.80 2.25 6.73 5.78 5.38 5.25 5.55 2.60 2.57 4.02 3.02 2.15 5.50 6.50 7.42 6.47 6.30 3.03 3.53 2.63 2.30 2.73 6.33 7.42 5.57 5.9 3.92 2.38 3.25 4.00 3.63 5.35 7.25 7.58 6.50 4.97 3.02 4.17 4.33 3.85 2.23 7.13 5.98 6.60 5.03 7.18 (a) Draw side-by-side boxplots for each vitamin type. (b ) Which vitamin type has more dispersion? Verify this by comparing the samplestandard deviations. (c) Which vitamin type appears to dissolve faster? Verify this by comparing centers. 6. (3.2 # 17 ) The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a "flipped " classroom . The "flipped " classroom is one where the content is delivered via video and watched at home, while class time is used for homework and activities. Traditional 70.8 69.1 79.4 67.6 85.3 78.2 56.2 81.3 80.9 71.5 63.7 69.8 59.8 Flipped 76.4 71.6 63.4 72.4 77.9 91.8 78.9 76.8 82.1 70.2 91.5 77.8 76.5 (a) Which course has more dispersion in exam scores using the range as the measure of dispersion ? (b ) Which course has more dispersion in exam scores using the standard deviation as the measure of dispersion? (c) Suppose the score of 59.8 in the traditional course was incorrectly recorded as 598 . How does this affect the range ? the standard deviation ? What property does this illustrate (d ) Find the lower and upper fence for each data set and determine whether there are any outlines . Are these values truly outlines or are they due to entry errors? (e) Which class would you take if you were simply interested in passing. That is which class has a higher percentage of scores that are passing (greater than 70 )? Hint: Use boxplots . (f) If you scored a 75 on the exam , in which class would that be a better score relative to the rest of the students? (g) Find the range of exam scores for the Traditional Classroom which contain 68% of the data and 95% of the data as given by the empirical rule

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