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 a mean of 115 and a standard deviation of 25. You suspect that incoming freshmen at your school have a mean μ, 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: μ = 115 versus Ha: μ ≠ 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? A) z = 0.048 B) z = 0.24 C) z = 1.2 D) z = 1.96
Accepted Solution
A:
Answer:0.24Step-by-step explanation:Test statistic (t-score) for the25 incoming freshmen mean sample score can be found using the formula:t=[tex]\frac{X-M}{\frac{s}{\sqrt{N} } }[/tex] where X is sample mean (116.2)M is the mean in null hypothesis (115)s is standard deviation (25)N is the sample size (25)putting these numbers in formula we get t=[tex]\frac{116.2-115}{\frac{25}{\sqrt{25} } }[/tex] =0.24