In a recent study, a researcher aims to determine whether a new teaching method is more effective than the traditional method. A sample of 30 students using the new method had an average exam score of 78 with a standard deviation of 10. In contrast, the traditional method is known to produce an average score of 75.
To test the hypothesis, the researcher will use a significance level of 0.05. What is the calculated test statistic for this hypothesis test?