MAT122-2005Spring - MAT 122 Final Exam May 9, 2005 Version...

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Unformatted text preview: MAT 122 Final Exam May 9, 2005 Version 1 Page 1 There are 7 questions. Do all parts of all questions. Show the work you do to obtain an answer. A calculator and your textbook are allowed. No other books or notes are allowed. Make sure you have seen and understand the rules in the syllabus about what sort of notes you are allowed to put in your book. Do not share calculators. Name: Put your name on your blue book. Put all the work you wish to have graded in your blue book. Turn in both your exam and your blue book together. When you turn in your exam make sure your name gets checked off the list as having turned in the exam. Whenever you are doing a hypothesis test do the full 8 step method as outlined in class. 1. (15 points) A researcher wants to test whether in a certain variety of pea plants flower color (white, pink) is related to pod color (green, yellow). A simple random sample of 200 pea plants of that variety yields the results in the following table. At the 0.01 level of significance test the claim that flower color is independent of pod color. Flower Color White Pink Green 60 50 Pod Color Yellow 30 60 2. (13 points) An astronomer receives the following sequence of 0's and 1‘s from outer space. Use the runs test for randomness with a significance level of 0.05 to test the claim that the sequence is random. 001100110011001100110011 Go to next page MAT 122 Final Exam May 9, 2005 Version 1 Page 2 3. (12 points) For the following set of paired x,y data find the equation of the regression line. x 2 . 4 6 8 y 3 4 7 9 r 4. (15 points) Three different groups of mice are fed different diets. The following table gives the weights of independent simple random samples of mice from each group. Use ANOVA with a significance level of 0.05 to test the claim that all three groups have the same mean weight. Group A B C 3 2 3 Weights 5 3 4 7 4 5 5 5. (15 points) To monitor a computer chip making machine, each day for 10 days a sample of 200 of that day's production of chips is taken and the number of defects is counted. The following table gives the results. (a) Construct a p chart for the data. Be sure to explicitly give the values for the center line, upper control limit, and lower control limit and include them on the Chan. (b) is the process within statistical control? Why or why not? Day 1 2 3 4 5 6 7 8 9 10 Number of Defects 3 4 5 6 7 8 9 10 11 12 6. (15 points) A simple random sample of 800 people from town A has 760 people who own a cell phone. An independent simple random sample of 600 people from town B has 510 people who own a cell phone. Construct a 99% confidence interval for the difference between the two proportions of cell phone ownership. 7. (15 points) A simple random sample of 27 soda cans was obtained. The mean amount of soda in the cans was 11.2 ounces with a sample standard deviation of 1.5 ounces. At the 0.10 level of significance test the claim that the mean amount of soda in a can is less than 12 ounces. Assume the amounts of soda are normally distributed. ...
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MAT122-2005Spring - MAT 122 Final Exam May 9, 2005 Version...

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