Let us suppose that a certain probability instructor manages, with probability 1, to write exams that have mean 75 and standard deviation 10 . The instructor is teaching two classes, one of size 64 and the other of size 36, and is about to give an exam to both classes. (a) Approximate the probability that the average test score in the class of size 64 exceeds 80. Probability ≈(b) Repeat part (a) for the class of size 36. Probability ≈ (c) Approximate the probability that the average test score in the larger class exceeds that of the other by more than 2 points. Probability ≈ (d) Approximate the probability that the average test score in the smaller class exceeds that in the other by more than 2 points. Probability ≈

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.