he Survey of Study Habits and Attitudes (SSHA) is a psychological test that meas

Question

he 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 a distribution with mean 115 and standard deviation 25. You suspect that incoming freshmen at your school have a mean , which is different from 115 because they are often excited yet anxious about entering college. To test your suspicion, you decide to test the corresponding hypotheses. 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?

Explanation / Answer

Formulating the null and alternative hypotheses,              
              
Ho:   u   =   115  
Ha:    u   =/   115  
              
As we can see, this is a    two   tailed test.      
Getting the test statistic, as              
              
X = sample mean =    116.2          
uo = hypothesized mean =    115          
n = sample size =    25          
s = standard deviation =    25          
              
Thus, t = (X - uo) * sqrt(n) / s =    0.24   [ANSWER]  

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