Psychology 2810 Lecture 10: Lecture 10

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Childre(cid:374)"s scores on a standardized achievement test have a mean of 100 in the population and their distribution is normal. The designers of a new educational training program claim that children who undergo their program will perform significantly better than this, on average. To test their claim, 40 randomly selected children are given the new training program and, subsequently, are given the achievement test. Their mean score is 104, with a standard deviation of 12. Design experiment: give the new program to a sample of 40 children. Select a value for alpha: we are told alpha is . 05. State the dr: dr: reject ho if p (outcome of experiment | ho is true) < . 05. Perform the test: what is: p (observed outcome of experiment | ho is true), p (xbar > 104| mu = 100) sampling distribution question (cid:1006). Childre(cid:374)"s s(cid:272)ores o(cid:374) a sta(cid:374)dardized a(cid:272)hie(cid:448)e(cid:373)e(cid:374)t test ha(cid:448)e a (cid:373)ea(cid:374) of (cid:1005)(cid:1004)(cid:1004) i(cid:374) the populatio(cid:374) a(cid:374)d their distribution is normal.

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