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# Inference for Distributions

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A). Find the mean IQ scores for girls and for boys. It is common for boys to have somewhat higher scores on standardized tests. It that true?

b). Compute 95% T intervals of the Girls' IQ's and the Boys' IQ's and explain what these intervals mean.

c). Make a histogram for each set of data to determine whether each distribution is reasonably symmetric with no outliers. If this is so, we can use t- procedures-do your histograms indicate that we can use t-procedures?

d). Give a 90% 2-Sample T interval confidence for the mean difference between the mean IQ scores for all boys and girls in the district. Then explain what this interval means.

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#### Solution Summary

a). Find the mean IQ scores for girls and for boys. It is common for boys to have somewhat higher scores on standardized tests. It that true?

b). Compute 95% T intervals of the Girls' IQ's and the Boys' IQ's and explain what these intervals mean.

c). Make a histogram for each set of data to determine whether each distribution is reasonably symmetric with no outliers. If this is so, we can use t- procedures-do your histograms indicate that we can use t-procedures?

d). Give a 90% 2-Sample T interval confidence for the mean difference between the mean IQ scores for all boys and girls in the district. Then explain what this interval means.

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