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 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 in the Philippines 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 (Use a left-tailed test.) (a) One sample of 225 students had mean student attitude score Enter this x, along with the other required information, into the P-value of a Test of significance Applet. What is the Pvalue? (Round your answer to four decimal places.) P value Is this outcome statistically significant at the eas level? At the It is not significant either level It is significant at the a- 0.01 level, hence also at the a 0.05 It is significant at the a 0.01 level but not at the a 0.05 level. O It is significant at the a 0.05 level, hence also at the 0.01 It is significant at the a 0.05 level but not at the a a 0.01 level. (b) Another sample of 225 students had Use the applet to find the P-value for this outcome. (Round your answer to four decimal places.) P-value Is it statistically significant at the level? At the level? This is significant at both the a 0.01 level and at the a 0.05 This is significant at the a 0.05 level but not at the a 0.01 level. o This is not significant at either level. This is significant at the a 0.01 level but not at the a 0.05 level. (c) Explain briefly why these P-values tell us that one outcome is strong evidence against the null h ypothesis and that the other outcome is not. o if 50, observing a value of 47.6 would not be too surprising, but 49.3 is much less likely, and therefore provides some evidence that 50 50, observing a value of 49.3 would not be too surprising, but 47.6 is much less likely, and therefore provides some evidence that 50 50, observing a value of 49.3 would not be too surprising, but 47.6 is much less likely, and therefore provides some evidence that p 50 o m 50, observing a value of 47.6 would not be too surprising, but 49.3 is much less likely, and therefore provides some evidence that 50

Explanation / Answer

given data:

sample size=n=3

population standard deviation=sigma=1.0

Null hypothesis: Ho: mu=25 versus Alternative hypothesis: H1: mu not equal to 25

sample mean=xbar=(24.3+24.9+24.8)/3=24.667

The z-statistics for above testing is given by following formula:

z=(xbar-mu0)/(sigma/sqrt(n))

z=(24.667-25)/(1/sqrt(3))

z=-0.577

Hence, the required z-statistic is: z=-0.577

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