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Stat 200 Week 6 Homework Solution Correct Answers - Document preview page 1

Stat 200 Week 6 Homework Solution Correct Answers - Page 1

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Stat 200 Week 6 Homework Solution Correct Answers

Week 6 homework answers for a statistics course.

Lily Green
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Stat 200 Week 6 Homework Solution Correct Answers - Page 1 preview imageStat 200Week 6 Homework Solution Correct Answers2. List 3 measures one can take to increase the power of an experiment. Explain why your measures result ingreater power.65.Previously, an organization reported that teenagers spent 4.5 hours perweek, on average, on the phone. Theorganization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how manyhours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of2.0. Conduct a hypothesis test. The null and alternative hypotheses are:a.Ho: =4.5,Ha: >4.5b.Ho:μ4.5,Ha:μ<4.5c.Ho:μ=4.75,Ha:μ>4.75d.Ho:μ=4.5,Ha:μ>4.577.An article in theSan Jose Mercury Newsstated that students in the California stateuniversity system take 4.5years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. Youconduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do thedata support your claim at the 1% level?83.According to an article inNewsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is100: 114 (46.7% girls). Suppose you don’t believe the reported figures of the percent of girls born in China. Youconduct a study. In this study, you count the number of girls and boys born in 150 randomly chosen recent births.There are 60 girls and 90 boys born of the 150. Based on your study, do you believe that the percent of girls bornin China is 46.7?
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Stat 200 Week 6 Homework Solution Correct Answers - Page 2 preview image
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Stat 200 Week 6 Homework Solution Correct Answers - Page 3 preview image2. A company produces two products that are processed on two assembly lines.Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Eachproduct requires 10 hours of processing time on line 1, while on line 2 products 1requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit,and the profit for product 2 is $4 per unit.a. Formulate a linear programming model for this problem.b. Solve the model by using graphical analysis.Answer:a)formulation:X1 = amount of product 1X2 = amount of product 2Maximize 6X1 + 4X2subject to:10X1 + 4X2 <=1007X1 + 3X2 <= 42X1, X2 >=0b)
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Stat 200 Week 6 Homework Solution Correct Answers - Page 4 preview imageI draw the feasible set which has 3 corners D(0,0), B(0,14), A(6,0)One of them is the optimal solution.Now if we check for which value 6X1 + 4X2 is maximum, if we check then we get(0,14) (i.e. X1 = 0, X2 = 14) for which 6X1 + 4X2is maximum and the maximumvalue is 56.6. The Pinewood Furniture Company produces chairs and tables from tworesourceslabor and wood. The company has 80 hours of labor and 36 board-ft.of wood available each day. Demand for chairs is limited to 6 per day. Each chairrequires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400and from each table, $100. The company wants to determine the number ofchairs and tables to produce each day in orderto maximize profit. Formulate alinear programming model for this problem.
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