Compare two teaching methods. A researcher wants to compare the average test scores of two different teaching methods, but it is unclear which method is better. Method A is a traditional method that has been used for decades, while Method B is a new experimental method. The researcher collects test scores from students who have been taught using each method and wants to perform a hypothesis test to determine if there is a significant difference in the average test scores.
a) Formulate the null and alternative hypotheses.
b) Determine the appropriate statistical test to use.
c) Calculate the test statistic and p-value.
d) Interpret the results of the hypothesis test.