applied calculus
DESCRIPTION
APPLIED CALCULUS ANSWERTRANSCRIPT
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ANSWER (TEST 1) SEMESTER: I SESSION: 13/14
PART A:
1. C
2. B
3. D
4. D
PART B:
1.(a)
20.76 20.76
1.4493 0.2797
X Y
X Y
x x
s s
(b) 2 2Method Y produce the best measurement of a tennis ball since < Y X
s s
2. (a) (i) An outlier is an extremely high or an extremely low data value when compared with the rest of
the data values.
(ii)
3 7.5 83 10
4
1 2.5 31 10
4
8.8
8.8 7.3 1.5
(i) 7.3 1.5 1.5 5.05
(ii) 8.8 1.5 1.5 11.05
Outlier is 4.2
9.8
11.0 9.8 1.2
(i) 9.8 1.5 1.2 8
(ii) 11.0 1.5 1.2 12.8
No outlier
A
A
B
B
Q x x x
IQR
Q x x x
IQR
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(c)
Shape of Company A is Left-skewed distribution while Company B is Right-skewed Distribution.
Company A is more variable than company B as the A BIQR IQR .
3.
1 2d X X
-7 -2 4 3 -6
0.005,4
1.6 ; 5.0299
4.6041
99% confidence interval on the mean difference
of the two new varieties of wheat:
5.02991.6 4.6041
5
11.96,8.76 kg per plot
d dx s
t
-
0.02,4,4
0.98,4,4
2
0
2
10
2 2
2 2
10.8994
10.0917
10.8994
96% confidence interval for :
0.4180 0.41800.0917, 10.8994
0.2022 0.2022
0.3919,46.5793
f
f
4. (a)
0 10
0 10
22 2
2 22 2
0.01,5
0 10
2 2
2.212 4.532
0.4180 0.2022
0.4180 0.2022
5 55.7748 5
0.4180 0.2022
5 5
4 4
3.3649
98% confidence interval for :
0.4180 0.20222.212 4.532 3.3649
5 5
x x
s s
v
t
3.02, 1.62 C
(b)
-
0.025
2
0.025
0.5
1.96
1.960.5 0.5 1536.64 1537 circuits made with gold wire
0.025
E
p
z
n
5. (a)
0.015
120
120 105 15
0.125
2.1701
97% confidence interval for ;
0.125 0.8750.125 2.1701
120
0.0595,0.1905
A
A
A
A
n
x
p
z
(b)