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01 TEST 2 QUESTION 1.docx
Soalan 1 / Question 1 [15 markah/marks]
Satu ujikaji dilaksanakan bagi mengukur prestasi algoritma bagi penyelesaian satu
masalah persamaan pembezaan. Bagi tujuan tersebut, 10 algoritma dipilih dan
dilaksanakan dan dicatatkan masa dalam microsaat. Keputusannya ialah seperti dalam
jadual di bawah. Guna 5% aras signifikan dan bundarkan kepada 3 angka signifikan
dalam pengiraan anda.
An experiment is conducted to measure the performance of algorithm for solving a
differential equations problem. For this purpose 10 algorithms is selected and executed
and the time taken is recorded. The results are displayed in the table below. Use the
5% significance level and round to 3 significant figures in your computation.
Algoritma
Algorithm
1
2
3
4
5
6
7
8
9
10
∑x
∑ x2
Variance a.
b. Masa yang diambil (ms)
Time taken (ms)
12.7
33.4
22.5
12.6
53.4
53.1
61.8
52.3
13.5
12.7
328.0
1451.1
417 Nyatakan dengan jelas populasi dan sampel bagi kajian di atas.
State clearly the population and sample for the above study. [3m] Guna ujian hipotesis bagi menguji sama ada data ini menyediakan bukti
yang cukup untuk menyatakan bahawa masa perlaksanaan algoritma ini
kurang dari 40 mikrosaat.
Apply hypothesis testing to test whether these data provide sufficient evidence to indicate that the execution time of this algorithm is less than 40
microseconds
i. Nyatakan hipotesis nul dan hipotesi pilhan anda.
State your null and alternative hypotheses. [2m] ii. Kira ujian statistik anda. [6m] 2 Compute your appropriate test statistic.
iii. Berikan nilai kritikal dati jadual statistik.
State the table critical value. [1m] iv. Nyatakan keputusan dengan alasannya sekali.
State and justify your decision. [2m] v. Berikan kesimpulan bagi ujian hipotesis anda.
State the conclusion of your hypothesis testing. [1m] 2

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