Question

Suppose a researcher wanted to evaluate the effectiveness of a novel meditation program to lower test anxiety in students attending university. Because she knows the program will not increase anxiety she has a directional hypothesis. For the general population of university students, scores on a standardized test anxiety assessment forms a normal distribution with µ = 40 and σ = 8. If she randomly selects one student to try the program, what raw score on the test anxiety assessment would need to be obtained in order to reject the null hypothesis at the p < .05 critical level?

Answer 1

Null and Alternative Hypothesis:

At = 0.05, the critical value of a one tailed test, = -1.645

To reject the null Hypothesis the test statistic value should be less than should = -1.645

So

( we will select a lower value)

So the value of row score should be 26 to reject the null Hypothesis.