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

1) Entry to a certain University is determined by a national test. The scores on this

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?

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