Question

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a Normal distribution with mean 115 and standard deviation 25. You suspect that incoming freshmen at your school have a mean \muμ, which is different from 115 because they are often excited yet anxious about entering college. To test your suspicion, you decide to test the hypotheses H0: \muμ = 115 versus Ha: \mu \\eμ ≠ 115. You give the SSHA to 25 incoming freshmen and find their mean score to be 116.2.What is the value of the test statistic?

Answer 1

The value of the test statistic is 0.24.

Step-by-step explanation:

Test statistic (z) = (sample mean - population mean) ÷ (population sd/√n)

sample mean = 116.2

population mean = 115

population sd = 25

n = 25

z = (116.2 - 115) ÷ (25/√25) = 1.2 ÷ 5 = 0.24