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Question 3 [Soalan 3] A researcher was interested in determining whether there was a difference in the life span (in months) of three brands car batteries. He took a random sample of six car batteries of each brand and tested them. Table 3.1 shows the recorded data that is not normally distributed. [Seorang penyelidik berminat untuk menentukan sama ada terdapat perbezaan jangka hayat (dalam bulan) bateri kereta untuk tiga jenama. Dia mengambil sampel rawak enam bateri kereta setiap jenama dan mengujinya. Jadual 3.1 menunjukkan data yang direkodkan tidak tertabur secara normal.] Table 3.1 [Jadual 3.1] Maron Optimus Zrata 36 40 60 38 42 58 36 42 55 38 40 55 34 44 32 43 55 52 (a) What is the dependent variable, independent variable, and experimental unit of this study? [Apakah pemboleh ubah bersandar, pemboleh ubah tak bersandar dan unit eksperimen bagi kajian ini?] (3 Marks/ Markah) (b) What is the best measure of central tendency for the above data? Why? [Apakah ukuran kecenderungan memusat terbaik untuk data di atas? Mengapa?] (2 Marks/ Markah) (c) Show that the sum of ranks for Maron, Optimus and Zrata are 21, 57, and 93, respectively. [Tunjukkan bahawa hasil tambah pangkat untuk Maron, Optimus dan Zrata masing-masing ialah 21.57, dan 93.] (5 Marks/ Markah) (d) Given x=5.99, test whether there is a difference in the life span of three brands car batteries. Conclude your finding. [Diberi x=5.99, uji sama ada terdapat perbezaan jangka hayat bateri kereta untuk tiga jenama bateri kereta. Simpulkan dapatan anda.] (5 Marks/Markah) (e) Based on (d), what do you think about the p-value of test statistic H compared to a. Why? [Berdasarkan (d), apakah ye h yang anda fikir mengenai nilai-p bagi statistik ujian H berbanding a. Mengapa?] (2 Marks/Markah) Dicetak oleh Unit Peperiksaan & Pengjazahan, Bahagian Pengurusan Akademik Pun Pengurusan Akademik UniMAP ....6/- SULIT SULIT -6- (EQT271) (f) Assume the life span data is normally distributed. What is the best measure of central tendency and suitable test to know whether the life span of three brands car batteries is significantly different? Why? [Andaikan data jangka hayat tertabur secara normal. Apakah ukuran kecenderungan memusat terbaik dan ujian yang sesuai untuk mengetahui sama ada jangka hayat tiga jenama bateri kereta adalah berbeza secara signifikan? Mengapa?] (3 Marks/ Markah) Question 3 [Soalan 3] A researcher was interested in determining whether there was a difference in the life span (in months) of three brands car batteries. He took a random sample of six car batteries of each brand and tested them. Table 3.1 shows the recorded data that is not normally distributed. [Seorang penyelidik berminat untuk menentukan sama ada terdapat perbezaan jangka hayat (dalam bulan) bateri kereta untuk tiga jenama. Dia mengambil sampel rawak enam bateri kereta setiap jenama dan mengujinya. Jadual 3.1 menunjukkan data yang direkodkan tidak tertabur secara normal.] Table 3.1 [Jadual 3.1] Maron Optimus Zrata 36 40 60 38 42 58 36 42 55 38 40 55 34 44 32 43 55 52 (a) What is the dependent variable, independent variable, and experimental unit of this study? [Apakah pemboleh ubah bersandar, pemboleh ubah tak bersandar dan unit eksperimen bagi kajian ini?] (3 Marks/ Markah) (b) What is the best measure of central tendency for the above data? Why? [Apakah ukuran kecenderungan memusat terbaik untuk data di atas? Mengapa?] (2 Marks/ Markah) (c) Show that the sum of ranks for Maron, Optimus and Zrata are 21, 57, and 93, respectively. [Tunjukkan bahawa hasil tambah pangkat untuk Maron, Optimus dan Zrata masing-masing ialah 21.57, dan 93.] (5 Marks/ Markah) (d) Given x=5.99, test whether there is a difference in the life span of three brands car batteries. Conclude your finding. [Diberi x=5.99, uji sama ada terdapat perbezaan jangka hayat bateri kereta untuk tiga jenama bateri kereta. Simpulkan dapatan anda.] (5 Marks/Markah) (e) Based on (d), what do you think about the p-value of test statistic H compared to a. Why? [Berdasarkan (d), apakah ye h yang anda fikir mengenai nilai-p bagi statistik ujian H berbanding a. Mengapa?] (2 Marks/Markah) Dicetak oleh Unit Peperiksaan & Pengjazahan, Bahagian Pengurusan Akademik Pun Pengurusan Akademik UniMAP ....6/- SULIT SULIT -6- (EQT271) (f) Assume the life span data is normally distributed. What is the best measure of central tendency and suitable test to know whether the life span of three brands car batteries is significantly different? Why? [Andaikan data jangka hayat tertabur secara normal. Apakah ukuran kecenderungan memusat terbaik dan ujian yang sesuai untuk mengetahui sama ada jangka hayat tiga jenama bateri kereta adalah berbeza secara signifikan? Mengapa?] (3 Marks/ Markah)
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