M16$EXAM$2:$Practice$Problems$Chapters$3:6$
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1.$$Which$has$a$better$relative$score:$a$score$of$75$on$a$statistics$test$with$a$mean$of$
60$and$standard$deviation$of$10$or$a$score$41$on$an$accounting$test$with$a$mean$of$
30$and$a$variance$of$6?$
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2.$$Construct$a$boxplot$for$the$following$data,$which$represents$the$number$of$
innings$pitched$by$the$ERA$leaders$of$the$last$few$years.$$Comment$on$the$shape$of$
the$distribution.$$$$
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192,$228,$186,$199,$238,$217,$213,$234,$264,$187,$214,$115,$238,$246$
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3.$$A$recent$survey$in$3$different$areas$of$a$new$diet$cola$reported$the$following$
percentages$of$people$who$liked$the$taste.$$Find$the$weighted$mean$of$the$
percentages.$
Area$
%$Liked$the$taste$
Number$surveyed$
1$
40$
1000$
2$
30$
3000$
3$
50$
800$
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4.$$Check$the$following$data$for$outliers:$145,$119,$122,$118,$125,$116$
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5.$$Rolling$two$dice:$$Use$probability$notation$and$rules$to$find$the$following$
probabilities.$
a)$Getting$a$sum$of$5$
b)$Getting$a$sum$of$7$or$11$
c)$Getting$a$sum$greater$than$9$
e)$Rolling$a$roll$that$has$exactly$one$4$and$adds$up$to$5$
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6.$$Drawing$two$cards$from$a$deck$of$cards:$$use$probability$notation$and$rules$to$
find$the$following$probabilities.$
a)$Drawing$two$spades$(with$replacement)$
b)$Drawing$two$spades$(without$replacement)$
c)$Drawing$two$cards$of$the$same$suit$(without$replacement)$
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7.$$Find$the$sample$space$depicting$a$couple$having$three$children.$$Use$probability$
notation$and$rules$to$find$the$probability$of$two$boys$or$two$girls?$
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8.$$In$a$high$school$statistics$class$there$are$18$juniors$and$10$seniors;$6$of$the$
seniors$are$females$and$12$of$the$juniors$are$males.$$If$a$student$is$selected$at$
random$find$the$probability$of$selecting:$
a)$A$junior$or$female$
b)$A$senior$or$female$
c)$A$junior$or$a$senior$
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