A researcher is studying how music genre (Rock, Pop, Country) and time of day (Afternoon, Evening) affect audience satisfaction at music festivals. They collect satisfaction ratings (on a scale of 1–10) from attendees at different performances. We are interested in determining the genre and time that results in the highest mean satisfaction ratings using a 5% level of significance. Which of the following are the factors in this two-way ANOVA? Select all.

An 8th grade teacher tests if three methods of teaching lead to different average final exam scores. If the F-test in one-way ANOVA is significant, what does that indicate?

A random sample of student data were collected in an effort to predict student GPA using the 5 predictors described earlier. Refer to the appropriate Minitab output provided earlier. What is the correct interpretation of the coefficient of determination?

A research study was conducted to determine if area high school graduates’ post-graduation plans are changing. Random samples of area students from three different years (2010, 2015, 2020) were studied and asked what they choose to do after high school graduation (College, Workforce, Military).  Which of the following states the populations from which sampling takes place?

A company that sells bug spray is considering a new package design. The company would like to test to see whether there is a difference between monthly sales generated by the new package design and the old package design. In order to make such a determination, 8 sporting goods stores were randomly selected and the monthly sales for each of these stores (new package and the old package) were analyzed.  Which of the following is the correct conclusion written in plain English.

A research study was conducted to determine if area high school graduates’ post-graduation plans are changing. Random samples of area students from three different years (2010, 2015, 2020) were studied and asked what they choose to do after high school graduation (College, Workforce, Military).  The Chi-square test statistic has 4 degrees of freedom. How is this value calculated?

Decide what statistical procedure would be used to study the data from this scenario. A researcher is studying how music genre (Rock, Pop, Country) and time of day (Afternoon, Evening) affect audience satisfaction at music festivals. They collect satisfaction ratings (on a scale of 1–10) from attendees at different performances. We are interested in determining the genre and time that results in the highest mean satisfaction ratings using a 5% level of significance. What statistical test would be used to study these data. Explain.

What does a Chi-square test statistic = 0 indicate?

A research study was conducted to determine if area high school graduates’ post-graduation plans are changing. Random samples of area students from three different years (2010, 2015, 2020) were studied and asked what they choose to do after high school graduation (College, Workforce, Military).  What is the correct decision at the 5% level of significance?

A random sample of student data were collected in an effort to predict student GPA using the 5 predictors described earlier. Refer to the appropriate Minitab output provided. We are interested in using backward elimination to improve the model. Which predictor would be removed first?