Question
Transcribed Text
You can use R to complete pazta of these questions. If you use R. you must pecivide the code used in the
writeup
1.
marks
1 44 #53. For part (b). create the bexplot in R.
2 (4 marks I For a set 71, 72.
of data Tos the sample variance can be calculated 
,
1 This formula has a nice interpretation, however, the textbook suggests an


alternate formula is easier to computes
: n 1
Show that the two formulas are equivalent.
3. B (9 marks  (1,2,3,5,8) I and C Determine the set of elements the
Consider the universal set s (262110585 10) & let A  (= E UI (2) is prime)
corresponds to each of the following:
(a) AnB
(b) AUC
(e) c
(d) (AUC)
(e) An(BUC)
(f) and
(g) BNC
53. A mutual fund is a professionally managed investment
scheme that pools money from many investors and
invests in a variety of securities. Growth funds focus pri
marily on increasing the value of investments, whereas
blended funds seek a balance between current income
and growth. Here is data on the expense ratio (expenses
as a % of assets, from www.morningstar.com) for sam
ples of 20 largecap balanced funds and 20 largecap
nies in which the funds invest; the population sizes are
growth funds ("largecap" refers to the sizes of compa
825 and 762, respectively):
B1
1.03
1.23
1.10
1.64
1.27
1.30
1.25
0.78
1.05
0.94
2.86
0.64
1.05
0.75
0.79
1.61
0.09
1.26
0.93
0.84
Gr
0.52
1.06
1.26
0.99
2.17
1.10
1.07
1.55
0.91
1.81
0.79
1.39
2.05
1.02
0.62
1.10
1.78
1.52
1.01
o
1.15
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B1=[1.03 1.23 1.1 1.64 1.3 1.27 1.25 0.78 1.05 0.64...
0.94 2.86 1.05 0.75 0.09 0.79 1.61 1.26 0.93 0.84];
Gr=[0.52 1.06 1.26 2.17 1.55 0.99 1.1 1.07 1.81 2.05...
0.91 0.79 1.39 0.62 1.52 1.02 1.1 1.78 1.01 1.15];
meanB1=mean(B1)
meanGr=mean(Gr)
medianB1=median(B1)
medianGr...
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