STA1510 ASSIGNMENT 4 SOLUTIONS SEMESTER 2 2020

2020

STA1510-BASIC STATISTICS




SEMESTER 2
ASSIGNMENT 04 SOLUTIONS
UNIQUE NUMBER 637233
Structural Engineer
M.Sc., B.Sc.Hons. Civil Engineering

, 𝑅𝑜𝑤 𝑡𝑜𝑡𝑎𝑙 ×𝐶𝑜𝑙𝑢𝑚𝑛 𝑡𝑜𝑡𝑎𝑙
1. (1) 𝑓𝑒 =
𝑆𝑎𝑚𝑝𝑙𝑒 𝑠𝑖𝑧𝑒(𝑛)

78×38
𝑓12 =
200

𝑓12 = 14,82 Correct

(2) Correct

(3)Correct

(4) 𝑑𝑓 = (𝑟 − 1)(𝑐 − 1)

𝑑𝑓 = (2 − 1)(4 − 1)

𝑑𝑓 = 3 Correct

(5) Incorrect Option [5]


2
2. (1) 𝜒0,01; 5 = 15,086 Correct

2
(2) 𝜒0,05; 5 = 11,070 Correct

2
(3) 𝜒0,10;5 = 9,236 Correct

2 2
(4) 𝐼𝑓 𝜒𝑆𝑇𝐴𝑇 > 𝜒𝛼;𝑑𝑓 𝑟𝑒𝑗𝑒𝑐𝑡 𝑡ℎ𝑒 𝑛𝑢𝑙𝑙 ℎ𝑦𝑝𝑜𝑡ℎ𝑒𝑠𝑖𝑠, 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 𝑑𝑜 𝑛𝑜𝑡 𝑟𝑒𝑗𝑒𝑐𝑡

2 2
𝐴𝑡 1% 𝑙𝑒𝑣𝑒𝑙 𝑜𝑓 𝑠𝑖𝑔𝑛𝑖𝑓𝑖𝑐𝑎𝑛𝑐𝑒 𝜒𝑆𝑇𝐴𝑇 = 13,50 < 𝜒0,01;5 = 15,086;

𝑑𝑜 𝑛𝑜𝑡 𝑟𝑒𝑗𝑒𝑐𝑡 𝑡ℎ𝑒 𝑛𝑢𝑙𝑙 ℎ𝑦𝑝𝑜𝑡ℎ𝑒𝑠𝑖𝑠. Incorrect
2 2
(5) 𝐴𝑡 5% 𝑙𝑒𝑣𝑒𝑙 𝑜𝑓 𝑠𝑖𝑔𝑛𝑖𝑓𝑖𝑐𝑎𝑛𝑐𝑒 𝜒𝑆𝑇𝐴𝑇 = 13,50 > 𝜒0,05;5 = 11,070;

𝑟𝑒𝑗𝑒𝑐𝑡 𝑡ℎ𝑒 𝑛𝑢𝑙𝑙 ℎ𝑦𝑝𝑜𝑡ℎ𝑒𝑠𝑖𝑠. Correct Option [4]




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