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Assume that the mean SAT score of students admitted to Northeastern Illinois University is 1090. The...

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Statistics

Assume that the mean SAT score of students admitted toNortheastern Illinois University is 1090. The members of thePsychology Department believe that students who decide to major inPsychology have higherSAT scores than the general population ofstudents at the university. A sample of N= 10 newly declaredPsychology majors consent to have their entrance recordsreviewed.

Their scores are as follows: 1276, 1248, 1066, 1106, 1138, 1215,1168, 1185, 933, and 1425.Can the department conclude thatPsychology majors have higher SAT scores than the university as awhole?

(a)Set up your hypotheses using the correct notation (1mark)

(b)Compute tobt(1.5marks)

(c)What is the statistical decision? JUSTIFY YOUR ANSWER(1mark)

(d)What is the conclusion? (1mark)

(e)Compute the 95% Confidence Interval for μ (1 mark)

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