Test Statistic in Hypothesis Testing

A researcher wants to determine whether a new teaching method has a significant effect on students' test scores. The researcher conducts a hypothesis test with the following null and alternative hypotheses:

H₀: μ = 75 (the mean test score under the traditional method is 75)

H₁: μ > 75 (the mean test score under the new method is greater than 75)

Using a sample of 30 students, the researcher calculates a sample mean of 78 and a sample standard deviation of 10. The significance level for the test is set at 0.05. To perform the hypothesis test, the researcher needs to calculate the test statistic.

Which of the following represents the correct formula to compute the test statistic for this hypothesis test?