The Survey of Study Habits and Attitudes (SSHA) is a psychological test that mea

Question

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitudes, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a Normal distribution, with mean of 110 and standard deviation sigma = 20. You suspect that incoming freshman have a mean mu, which is different from 110 because they are often excited yet anxious about entering college. To verify your suspicion, you test the hypotheses H_0: mu = 110, H_a: mu notequalto 110 You give the SSHA to 50 students who are incoming freshman and find their mean score. If you observe a sample mean of x = 115.35, what is the corresponding P-value? A. 0.058 B. 0.029 C. 0.787 D. None of the above In a test of statistical hypothesis, the P-value tells us: A. the smallest level of significance at which the null hypothesis can be rejected. B. if the alternative hypothesis is true C. if the null hypothesis is true D. the largest level of significance at which the null hypothesis can be rejected.

Explanation / Answer

15)

here std error of mean =std deviaiton/(n)1/2 =20/(50)1/2 =2.8284

therefore test stat =(X-mean)/std errror =(115.35-110)/2.8284=1.8915

for above test stat p value =0.058

option A is correct

16)

option D is correct.

17)

option C is correct.

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