Chi-Square Goodness-of-Fit Test: Using a Chi-Square Goodness of Fit Test with a significance
level of 0.05, test the hypothesis that Set 1 is sampled from a Normal Distribution with a population
mean equal to the sample mean and a population standard deviation equal to the sample standard
deviation. Similarly, test the hypothesis with a significance level of 0.05 that Set 2 is sampled from
an Exponential Distribution with a population mean equal to the sample mean. For each test, start
with the data classes from your histogram and merge them to ensure each class has a sufficient
number of observations. Then, for each data class, calculate the following:
¢ Numbers of observations in the data.
¢ Class probability.
¢ Class expected value.
¢ Chi-square component values.
Finally, for each test, calculate the chi-square value, describe the degrees of freedom, and explain
your conclusion.
Report: The homework report is to be typewritten in clear English with complete sentences. Be sure
to define all notations and include descriptions of all tables and figures in the text. Your report
should include a cover page and the following additional section:
Goodness-of-Fit Tests: Describe the chi-square tests with tables for the calculated values and
clearly stated conclusions. Show the Excel formulas for your table calculations in an
Appendix.
