Probability and Statistical Analysis: Week One Homework Assignment

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Probability and Statistical Analysis: Week One Homework Assignment Week One Homework Assignment 1. A total of 1, 300 students have completed the MAT 103 course during the past ten years. A random sample consisting of 25 students who completed the course during the past ten years was selected and their final course grades are summarized in the following table. Assuming the sample group is representative of prior students who have completed MAT 103, and assuming prior students who have completed the course are representative of future students who will take the course , what is the 9 5 % confidence interval estimate for the mean grade for a future student enrolling in the MAT 103 course? Student No. Course Grade 1 83.17 2 82.31 3 90.18 4 93.63 5 90.14 6 96.06 7 83.75 8 85.17 9 86.67 10 93.81 11 83.11 12 82.16 13 89.48 14 86.76 15 83.76 16 86.89 17 88.57 18 96.93 19 86.48 20 95.82 21 92.32 22 78.7 23 92.67 24 74.56 25 78.48 Sample mean (x - bar) = 87.26 Sample standard deviation ( s ) = 5.8 9
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