answer questions 6,7,8

ivpgbe_cebtenzzre
timer Asked: Nov 29th, 2017

Question Description

show all your working correctly and ensure. i have done questions 1 to 5. i need help in question 6,7,8

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ul Ooredoo 3G 1 79% 8:58 AM itsc.cce.edu.om CALEDONIAN COLLEGE OF ENGINEERING, OMAN DEPARTMENT OF MATHEMATICS & STATISTICS M3G124710: ADVANCED MATHEMATICS Assignment - Semester A - September 2017 Note: In questions 4,6,7 and 8 the letter p is the last nonzero digit of you student ID. [15] The fill of a cereal box machine is required to 18 ounces, with the variance o2 already established at 0.24. The past 150 boxes revealed an average of 17.96 ounces. A testing error of a = 2% is considered acceptable. If the box overfills, profits are lost; if the box under fills, the consumer is cheated. (a) Can we conclude that machine is set at 18 ounces? (b) Find a 98% confidence interval for p. (c) Would the result change if the sample variance were 0.24 from the data rather than knowing o2 = 0.24? 2 [10] The lengths of all machine parts made by company have a distribution that is skewed to the right with a mean of 68 mm and a standard deviation of 4 mm. Find the probability that the mean length of a random sample of 100 parts produced by this company would be: (a) Less than 66.8 mm. (b) Between 66.5mm and 67.7mm (c) Within 0.6mm of the populations mean. (d) Lower than the population mean by 0.5mm or more. http://ebookcentral.proquest.com/lib/caledonian- ebooks/reader.action?docID=289004&ppg=504 3. [10] A city installs 2017 electric lamps for street lighting. These lamps have a mean burning life of 1000 hours with a standard deviation of 200 hours. The normal distribution is a close approximation to this case. (a) What is the probability that a lamp will fail in the first 600 burning hours? (b) What is the probability that a lamp will fail between 800 and 1200 burning hours? (c) How many lamps are expected to fail between 800 and 1200 burning hours? (d) What is the probability that a lamp will burn for exactly 800 hours? Advanced Mathematics (M3G124710) Assignment 1 Page 1 of 2 CALEDONIAN COLLEGE OF ENGINEERING, OMAN DEPARTMENT OF MATHEMATICS & STATISTICS CATO a M3G124710: ADVANCED MATHEMATICS Assignment - Semester A - September 2017 4. [10] Verify Green's theorem in plane for $(x2 - 2xy) dx + (x²y + 3)dy over c where c is the boundary(positively oriented) of the region defined by y2 = x and x = p. http://ebookcentral.proquest.com/lib/caledonian- ebooks/detail.action?docID=437717 5. Use the partial fraction method to determine the inverse z-transform for [10] F(z) = 7-2+2-
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