Matthew Jordon is a research analyst for a large investment firm. He is preparing a report on the stock performance of Nike, Inc. One aspect of his report will contain inferences concerning monthly stock returns. Before making valid inferences, Matthew first wants to determine whether the return data follow the normal distribution. To this end, he constructs the following frequency distribution on monthly stock returns for the years 2006 through 2010.
He also calculates the following summary statistics over this time period:
In a report, use the sample information to:
1. Conduct a goodness-of-fit test in order to determine whether the monthly stock returns are not normally distributed at the 5% significance level.
2. Perform the Jarque-Bera test in order to determine whether the monthly stock returns are not normally distributed at the 5% significance level.