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August 23, 2014

August 23, 2014

Posted by **joane** on Wednesday, October 24, 2012 at 7:54pm.

test are normally distributed with a mean of 500 and a standard deviation of 100.

Tom wants to be admitted to this university and he knows that he must score

better than at least 70% of the students who took the test. Tom takes the test and

scores 585. Will he be admitted to this university?

^ I already did this question and I got 80.23%

but I need help with the other questions that go with this :

2) For the same test, consider Sarah, whose score is 683. What is her

a) Z score

b) T score

c) Percentile rank

d) What percentage of people scored between Sarah and the mean? How many

people were ahead of her? (Clue: use the Z table).

e) If the mean on the test were 550 and the Sd = 50, what would be Tom and

Sarah’s scores? Would either of them qualify for the University now?

- statistics! -
**PsyDAG**, Thursday, October 25, 2012 at 1:21pmI did not check #1.

2. Z = (score-mean)/SD

Z = (683-500)/100 (calculate)

T = 50 + 10Z

Percentile rank = proportion ≤ score

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores for c, d and e.

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