Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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please give the answer of "a"

Q6. In a drug trial, 50 patients (samples) are divided into two groups (Group A and
Group B) to identify the clinical effect of a drug. The data for patients in Group A are
given in the following table:
Group A
Patient
Number
Family history of Average systolic
heart attack
Age
Sex
blood pressure
No
No
Yes
Female
122
1
2
32
42
Female
124
Male
Female
Male
Male
Male
156
31
63
3
4
No
99
Yes
Yes
No
No
138
48
30
109
57
89
8
46
Male
114
No
Male
Female
Male
Male
28
86
10
54
No
134
Yes
146
11
12
38
No
134
53
51
No
Female
Female
13
115
Yes
No
14
46
134
15
Female
132
60
63
16
Male
No
96
Male
Male
17
33
No
87
18
45
No
93
Yes
No
Yes
19
29
Female
152
121
Female
Male
34
20
21
44
112
22
47
Female
No
114
23
56
Male
No
119
No
Male
Female
24
48
97
25
29
Yes
120
a) Differentiate between qualitative and quantitative data with examples. Identity the
qualitative and quantitative data from the table.
b) Calculate the variance and standard deviation of Age for the 25 patients in Group
А.
c) Calculate the standard error and co-efficient of variation of Age for the 25 patients
in Group A.
d) For Group B, the mean age is 46 with a standard deviation of 5.3. Using the
answers from b and c compare the variations of age in Group A and Group B.
e) What are the limitations of standard deviation?
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Transcribed Image Text:Q6. In a drug trial, 50 patients (samples) are divided into two groups (Group A and Group B) to identify the clinical effect of a drug. The data for patients in Group A are given in the following table: Group A Patient Number Family history of Average systolic heart attack Age Sex blood pressure No No Yes Female 122 1 2 32 42 Female 124 Male Female Male Male Male 156 31 63 3 4 No 99 Yes Yes No No 138 48 30 109 57 89 8 46 Male 114 No Male Female Male Male 28 86 10 54 No 134 Yes 146 11 12 38 No 134 53 51 No Female Female 13 115 Yes No 14 46 134 15 Female 132 60 63 16 Male No 96 Male Male 17 33 No 87 18 45 No 93 Yes No Yes 19 29 Female 152 121 Female Male 34 20 21 44 112 22 47 Female No 114 23 56 Male No 119 No Male Female 24 48 97 25 29 Yes 120 a) Differentiate between qualitative and quantitative data with examples. Identity the qualitative and quantitative data from the table. b) Calculate the variance and standard deviation of Age for the 25 patients in Group А. c) Calculate the standard error and co-efficient of variation of Age for the 25 patients in Group A. d) For Group B, the mean age is 46 with a standard deviation of 5.3. Using the answers from b and c compare the variations of age in Group A and Group B. e) What are the limitations of standard deviation?
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