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DEPARTEMEN PENDIDIKAN NASIONAL UNIVERSITAS ANDALAS FAKULTAS TEKNIK JURUSAN TEKNIK INDUSTRI LABORATORIUM PERENCANAAN DAN OPTIMASI SISTEM INDUSTRI TUGAS PENDAHULUAN ESTIMASI 1. Many cardiac patients wear implanted pacemakers to control their heartbeat. A plastic connector module mounts on the top of the pacemaker. Assuming a standard deviation of 0.0015 and an approximate normal distribution, find a 95% confidence interval for the mean of all connector modules made by a certain manufacturing company. A random sample of 75 modules has an average of 0.310 inch. 2. A random sample of 12 shearing pins is taken in a study of the Rockwell hardness of the head on the pin. Measurements on the Rockwell hardness were made for each of the 12, yielding an average value of 48.50 with a sample standard deviation of 1.5. Assuming the measurements to be normally distributed, construct a 90% confidence interval for the mean Rockwell hardness. 3. Students may choose between a 3-semcstcr-hour course in physics without, labs and a 4-semester-liour course with labs. The final written examination is the same for each section. If 12 students in the section with labs made an average examination grade of 84 with a standard deviation of 4, and 18 students in the section without labs made an average: grade of 77 with a standard deviation of 6, find a 99%. confidence interval for the difference between the average grades for the two courses. Assume the populations to be approximately normally distributed with equal variances. 4. In a random sample of 1000 homes in a certain city, it is found that 228 are heated by oil. Find the 99%, confidence interval for the: proportion of homes in this city that are heated by oil. 5. A conjecture by a faculty member in the microbiology department at Washington University School of Dental Medicine in St. Louis states that a couple of cups of either green or oolong tea each day will provide sufficient fluoride to protect your teeth from decay. How large a sample is needed to estimate the percentage of citizens in a certain town who favor having their Dibuat Diperiksa Tanggal Oleh 1 Maret 2015 Yoka Fernando Tanggal Oleh Jabatan AsistenTutorial Jabatan Tanda Tangan Tanda Tangan 1 Maret 2015 Sarvina Koordinator Tutorial OR 1 Mengetahui Tanggal Oleh Jabatan Tanda Tangan 1 Maret 2015 Dodi Rahmad Koordinator Asisten DEPARTEMEN PENDIDIKAN NASIONAL UNIVERSITAS ANDALAS FAKULTAS TEKNIK JURUSAN TEKNIK INDUSTRI LABORATORIUM PERENCANAAN DAN OPTIMASI SISTEM INDUSTRI water fluoridated if one wishes to be at least 99% confident that the estimate is within 1% of the true percentage? 6. A manufacturer of car batteries claims that his batteries will last, on average, 3 years with a variance of 1 year. If 5 of these batteries have lifetimes of 1.9, 2.4, 3.0, 3.5, and 4.2 years, construct a 95% confidence interval for a2 and decide if the manufacturer's claim that a" = 1 is valid. Assume the population of battery lives to be approximately normally distributed. 7. The government awarded grants to the agricultural departments of 9 universities to test the yield capabilities of two new varieties of wheat. Each variety was planted on plots of equal area at each university and the yields, in kilograms per plot, recorded as fol- lows: Find a 95% confidence interval for the mean difference between the yields of the two varieties, assuming the differences of yields to be approximately normally distributed. Explain why pairing is necessary in this problem. Dibuat Diperiksa Tanggal Oleh 1 Maret 2015 Yoka Fernando Tanggal Oleh Jabatan AsistenTutorial Jabatan Tanda Tangan Tanda Tangan 1 Maret 2015 Sarvina Koordinator Tutorial OR 1 Mengetahui Tanggal Oleh Jabatan Tanda Tangan 1 Maret 2015 Dodi Rahmad Koordinator Asisten
