Question: A researcher would like to find out whether a woman’s nickname affects her cholesterol reading. She records the cholesterol readings of 23 women nicknamed Sue, 24 women nicknamed Deb and 19 women nicknamed Becky; her data appears in the table below. She wants to know whether the differences in the mean readings are significant; i.e., whether there is any difference in the mean cholesterol readings of the women nicknamed Sue, women nicknamed Deb, and women nicknamed Becky. Use the ANOVA method to conduct this analysis, and do the following:

a. State the null and alternative hypotheses you are testing.

b. Use an alpha level of 0.05 for the ANOVA test.

c. Clearly state the conclusion of your test. In other words, what did you find out?