Consider a uniform distribution over the interval (0,0), where 0 > 0 and is unknown. Suppose we draw a random sample of

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Consider A Uniform Distribution Over The Interval 0 0 Where 0 0 And Is Unknown Suppose We Draw A Random Sample Of 1 (65.76 KiB) Viewed 12 times

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Consider a uniform distribution over the interval (0,0), where 0 > 0 and is unknown. Suppose we draw a random sample of size n from this distribution. (i) (ii) Dengan menggunakan ujian nisbah kebolehjadian, cari rantau-rantau genting untuk menguji hipotesis nol 0 = 2 terhadap 02, dengan kebarangkalian 5% untuk melakukan ralat Jenis I. Using the likelihood ratio test, find the critical regions for testing the null hypothesis of 0 = 2 against 02, with a 5% probability of committing Type I error. Setiap daripada tiga orang pelajar merekod lima buah cerapan secara rawak. Keputusan mereka adalah seperti berikut: Each of three students records five random observations. Their results are as follows: Pelajar A / Student A: 0.22, 1.24, 0.86, 0.29, 1.19 Pelajar B / Student B: 2.09, 0.04, 1.69, 0.45, 0.99 Pelajar C/ Student C: 1.02, 0.33, 0.19, 0.97, 1.07 Setiap daripada tiga orang pelajar menggunakan ujian nisbah kebolehjadian di bahagian (i) ke atas data mereka. Apakah hasil yang akan diperoleh oleh mereka? Each of the three students applies the likelihood ratio test in part (i) to their own data. What outcomes would they obtain?