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Chi-Square

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Listed below are birth weights (in kilograms) of male babies born to mothers on a special vitamin supplement (based on data from the New York State Department of Health). Test the claim that this sample comes from a population with a standard deviation equal to 0.470 kg, which is the standard deviation for male birth weights in general. Use a 0.05 significance level. Does the vitamin supplement appear to affect the variation among birth weights?

3.73 4.37 3.73 4.33 3.39 3.68 4.68 3.52

3.02 4.09 2.47 4.13 4.47 3.22 3.43 2.54

* Find the statistics needed to perform a Chi Square test on the data.

* Perform the Chi Square test indicated in the problem. Be certain to use the significance level ? = 0.05. Your test must include hypotheses, work with statistics and a conclusion.

* Write a brief statement regarding the last question in the problem.

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Solution Preview

Here is a website explaining how to use a chi-square test to test the standard deviation of a sample: http://www.itl.nist.gov/div898/handbook/eda/section3/eda358.htm

We are testing the claim that this sample comes from a population with a standard deviation equal to 0.470 kg. The hypotheses we are testing are:

Null hypothesis: the standard deviation is equal to 0.470 (σ = 0.470)
Alternative hypothesis: the standard deviation is different from 0.470 (σ ≠ ...

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13. The director of advertising for the Carolina Sun Times, the largest newspaper in the Carolinas, is studying the relationship between the type of community in which a subscriber resides and the section of the newspaper he or she reads first. For a sample of readers, she collected the following sample information.

National
News Sports Comics
City 170 124 90
Suburb 120 112 100
Rural 130 90 88

At the .05 significance level, can we conclude there is a relationship between the type of community where the person resides and the section of the paper read first?

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