MAT122-2007SpringUC - Sol< L OARt0\CKA MAT .I22...

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---------------- Sol< LOARt0\CKA MAT .I22Probability and Statistics for the Liberal Arts II, Spring 2007 University College, Section UOOl - -1jI- - - -1jI- - --,-- - -1jI-- - -1jI-- --IjI-- --IjI-- - -,-- - -1jI-- - -1jI-- - -1jI-- - -1jI-- FINAL EXAM Directions: Answer all of the following questions completely. If you are completing a hypothesis test make sure to include: null and alternative hypothesis, test statistic, critical value and conclusion. You may only use your formula packet and a calculator. Name: DO NOT WRITE BELOW: 1 2 3 4 5 6 7 8 Total:
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1. (12points) Records for the most recent freshman class accepted into a university shows a sample of 50 students tested had a mean score on an aptitude test of 118, with a standard deviation of 20 points. An administrator is interested in knowing whether the incoming freshman class is a typical class. The average test score in the past was 115. He tests the claim that the mean of incoming freshman is higher than the score of 115. Use a 0.05 significance level to test this claim.
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2. (13 paints) According to Mendelian inheritance theory, certain crosses of peas should yield 75% yellow peas. In an experiment of 224 peas, 195of them were yellow. Use a 0.01significance level to test the claim that the proportion of peas is not equal to 0.75.
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3. (13 points) Construct a control chart for R for the following data on the blowing time of fuses, samples of 5 being taken every hour. Be sure toexplicitly give the values for the centerline, upper control limit and lower control limit and include them in the chart. Determine whether or not the process is in statistical control. Make sure to defend your answer. Day Blowing Timeoffuses Range 1 42 65 75 78 87 45 2 42 45 68 72 90 48 3 19 24 80 81 81 62 4 36 54 69 77 84 48 5 42 51 57 59 78 36 6 51 74 75 78 132 81 7 60 60 72 95 138 78 8 18 20 27 42 60 42 9 15 30 39 62 84 69 10 60 109 113 U8 210 150 11 64 91 93 109 112 48 12 61 78 94 109 138 77
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Journal ofPediatrics, to determine whether it is possible to recognize early symptoms of adolescent obesity. Asample of 158obese girls and 94 non~ obese girls were measured at age one. Below are the summary statistics. Use a 0.10 significance level to test the claim that the mean of the obese girls was higher than the mean of the non-obese girls. The two groups are independent. One year weight
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MAT122-2007SpringUC - Sol&lt; L OARt0\CKA MAT .I22...

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