statistics

PART I

This is the dot plot for a random sample of 50 SAT scores. Describe the shape of the data. Does it appear it will have a relatively large or small standard deviation?

PART II

This graph is from “Collection Means from Random Samples of 50 SAT Scores". It contains the means collected from 355 samples of 50 SAT Scores.

The Graph at the right shows the distribution of these 300+ sample means.

1. Describe this distribution of sample mean SAT scores. Would you consider it to be nearly normal? How does it compare to the distribution of SAT Scores in Part I?

2. What is the mean of SampleMean50? What is the standard deviation? How do these values compare to the known parameters for the SAT (the mean is 896, the standard deviation is 174).

3. In DoW #5, the sample of 50 SAT Prep students has a mean SAT score of 1000. Where would a mean score of 1000 fall on this graph? How likely is it, based on this data, that a group of 50 students would have a mean score of 1000?

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