The Survey of Study Habits and Attitudes SSHA is a psycholog

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students\' study habits and attitude toward school. The survey yields several scores, one of which measures student attitudes toward studying. The mean student attitude score for college students is about 50, and the standard deviation is about 15. A researcher in the Philippines is concerned about the declining performance of college graduates on professional licensure and board exams. She suspects that poor attitudes of students are partly responsible for the decline and that the mean for college seniors who plan to take professional licensure or board exams is less than 50. She gives the SSHA to an SRS of 225 college seniors in the Philippines who plan to take professional licensure or board exams. Suppose we know that the student attitude scores in the population of such students are Normally distributed with standard deviation sigma = 15. Step 1: One sample of 225 students had mean student attitude score x bar = 48.9. Enter this x bar, along with the other required information, into the P-Value of a Test of Significance Applet. What is the P-value Give your answer to 4 decimal places. Fill in the blank: Step 2: Is this outcome statistically significant at the a = 0.05 level At the a = 0.01 level 3 It is significant at the a = 0.05 level, hence also at the a = 0.01 level. It is significant at the a = 0.01 level but not at the a = 0.05 level. 3 It is significant at the a = 0.05 level but not at the a = 0.01 level. It is not significant at either level. It is significant at the a = 0.01 level, hence also at the a = 0.05 level.

Solution

1) The answer can be obtained by using the applet.

Ho : mean = 50

Ha: mean < 50

n = 225

stdev = sigma = 15

mean observed = 48.90

You get the value of p = 0.1357

Since, p > 0.05, hence it is significant and hence null hypothesis can\'t be rejected.

The output is significant at both 0.05 and 0.01

c)

For the next two parts, follow the same procedure just change the mean observed = 47.40

Then, p = 0.0047

Thus, the Ho can be rejected at 5% confidence as well as 1% confidence level

Hope this helps.