2020
STA1510-BASIC STATISTICS
SEMESTER 2
ASSIGNMENT 03 SOLUTIONS
UNIQUE NUMBER 665590
Structural Engineer
M.Sc , B.Sc. Hons. Civil Engineering
, 1. 𝑛 = 100; 𝜋 = 0.90
𝜋(1−𝜋)
𝜎𝑝 = √
𝑛
0.9(1−0.9)
𝜎𝑝 = √
100
𝜎𝑝 = 0.03
𝑆𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑒𝑟𝑟𝑜𝑟 = 𝟎. 𝟎𝟑 Option [4]
2. 𝑃(𝑝 < 0,94); 𝜋 = 0,9 ; 𝑛 = 100
𝑝−𝜋
𝑍=
√𝜋(1−𝜋)
𝑛
𝑝 = 0,94
0,94−0,9
𝑍=
√0,9(1−0,9)
100
𝑍 = 1,33
𝑃(𝑝 < 0,94) = 𝑃(𝑍 < 1,33)
= 𝟎, 𝟗𝟎𝟖𝟐 Option [1]
3. 𝑥̅ = 160; 𝜎 = 25; 𝑛 = 64
𝜎
𝜎𝑥̅ =
√𝑛
25
𝜎𝑥̅ =
√64
𝜎𝑥̅ = 3,125 Option [5]
Courage is not the absence of fear. It is the ability to venture into unknown territory Page 1
STA1510-BASIC STATISTICS
SEMESTER 2
ASSIGNMENT 03 SOLUTIONS
UNIQUE NUMBER 665590
Structural Engineer
M.Sc , B.Sc. Hons. Civil Engineering
, 1. 𝑛 = 100; 𝜋 = 0.90
𝜋(1−𝜋)
𝜎𝑝 = √
𝑛
0.9(1−0.9)
𝜎𝑝 = √
100
𝜎𝑝 = 0.03
𝑆𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑒𝑟𝑟𝑜𝑟 = 𝟎. 𝟎𝟑 Option [4]
2. 𝑃(𝑝 < 0,94); 𝜋 = 0,9 ; 𝑛 = 100
𝑝−𝜋
𝑍=
√𝜋(1−𝜋)
𝑛
𝑝 = 0,94
0,94−0,9
𝑍=
√0,9(1−0,9)
100
𝑍 = 1,33
𝑃(𝑝 < 0,94) = 𝑃(𝑍 < 1,33)
= 𝟎, 𝟗𝟎𝟖𝟐 Option [1]
3. 𝑥̅ = 160; 𝜎 = 25; 𝑛 = 64
𝜎
𝜎𝑥̅ =
√𝑛
25
𝜎𝑥̅ =
√64
𝜎𝑥̅ = 3,125 Option [5]
Courage is not the absence of fear. It is the ability to venture into unknown territory Page 1
