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1. Draw an example of each of the following types of distributions.

a.  bimodal distribution

b.  positively skewed distribution

2.  Say you take a sample of size n = 30 of newborns in Arizona and find that for your sample the average birth weight is 3,589 grams with a standard deviation s = 488.  The national average birth weight for the US is 3,315 grams.Test the hypothesis that the Arizona average birth weight is greater than the national average using the information in your sample.  Use a significance level of 0.05.

a.  Define the null and alternative hypothesis.

b.  Find the critical value.

c.   Find the statistic.

d.   reject or not the null hypothesis.

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