These side-by-side boxplots show mean assessment test scores for various schools in a certain state, grouped according to whether they are lower-level elementary schools, or schools that combine elementary and middle school students in kindergarten through eighth grade.
a. Was the study design paired, two-sample, or several-sample?
b. Do the boxplots have comparable centers, or does it appear that one type of school has mean scores that are noticeably higher or lower than the other type?
c. Given your answer to part (b), is there reason to suspect that scores are related to the type of school (ordinary elementary or combination elementary and middle school)?
d. Do the boxplots have comparable spreads, or does it appear that one type of school has mean scores that are noticeably more or less variable than the other type?
e. The standard deviation of scores for one type of school is 40, for the other is 82. Which one of these is the standard deviation for the combination schools (boxplot on the right)?
f. Does either of the boxplots exhibit pronounced skewness or outliers?
g. There were in fact only 6 combination schools in the data set. Would you be more convinced or less convinced that type of school plays a role in scores if the boxplot were for 60 schools instead of 6-or wouldn't it matter?