In 2005, 1,475,623 students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean of 520 and a standard deviation of 115.  Use this information to answer the next five questions.   What variable is being measured?  Describe in words.   Calculate the z-score for an SAT score of 680.  Round your answer to 2 decimal places.   If one student is randomly selected, find the probability that she has an SAT score of at least 700. Sketch a diagram of this normal distribution labeling the mean, the x-value and the area that represents the probability.  Show and label all work.

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A: normal distribution μ = 100σ = 15 P(85<x<110) = ?

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A:

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A: Given that:

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A: According to our guidelines, we can answer only three sub-parts. So, please repost the rest parts.

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A:

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.