Question

In: Statistics and Probability

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

Assume that the mean SAT score of students admitted to Northeastern Illinois University is 1090. The members of the Psychology Department believe that students who decide to major in Psychology have higherSAT scores than the general population of students at the university. A sample of N= 10 newly declared Psychology majors consent to have their entrance records reviewed.

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

(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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