Share
Explore BrainMass

Chi-Square

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.

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 ≠ ...

$2.19