Question

For a certain standardized placement test, it was found that the scores were normally distributed, with a mean of 250 and a standard deviation of 35. Suppose that this test is given to 1000 students. (Recall that 34% of z-scores lie between 0 and 1, 13.5% lie between 1 and 2, and 2.5% are greater than 2.

A)How many are expected to make scores between 220 and 280?

B)How many are expected to score above 310?

C) What is the expected range of all the scores?

Answer #1

For a certain standardized placement test, it was found that the
scores were normally distributed, with a mean of 250 and a standard
deviation of 30. Suppose that this test is given to 1000 students.
(Recall that 34% of z-scores lie between 0 and 1, 13.5%
lie between 1 and 2, and 2.5% are greater than 2.)
(a) How many are expected to make scores between 220 and
280?
students
(b) How many are expected to score above 310?
students...

A standardized test was given to 6000 students. The scores were
normally distributed with a mean of 380 and a standard deviation of
50. How many students scored between 280 and 380?

A standardized test was given to 6000 students. The scores were
normally distributed with a mean of 380 and a standard deviation of
50. How many students scored between 280 and 380?

A national placement test has scores that are normally
distributed with a mean of 500 and a standard deviation of 100.
a) A certain college requires a
minimum score of 600. What percent of students would meet that
criteria?
b) A different college will accept only the top 10%. What is the
college’s cutoff score?

In a recent year, the total scores for a certain standardized
test were normally distributed, with a mean of 500 and a standard
deviation of 10.6. Answer parts (a) dash –(d) below. (a) Find
the probability that a randomly selected medical student who took
the test had a total score that was less than 490. The probability
that a randomly selected medical student who took the test had a
total score that was less than 490 is .1736 . (Round...

In a recent year, the total scores for a certain standardized
test were normally distributed, with a mean of 500 and a standard
deviation of 10.6. Answer parts (a)dash(d) below. (a) Find the
probability that a randomly selected medical student who took the
test had a total score that was less than 490. The probability that
a randomly selected medical student who took the test had a total
score that was less than 490 is nothing. (Round to four decimal...

A standardized exam's scores are normally distributed. In a
recent year, the mean test score was 1540 and the standard
deviation was 314.
The test scores of four students selected at random are 1970,
1290, 2270, and 1430.
Find the z-scores that correspond to each value and determine
whether any of the values are unusual.

A standardized exam's scores are normally distributed. In a
recent year, the mean test score was 1468 and the standard
deviation was 314. The test scores of four students selected at
random are 1890, 1220, 2180, and 1360.
Find the z-scores that correspond to each value and determine
whether any of the values are unusual.
The z-score for 1890 is __.
The z-score for 1220 is __.
The z-score for 2180 is __.
The z-score for 1360 is __....

11) A certain standardized test has scores which range from 0 to
500, with decimal scores possible. Scores on the exam are normally
distributed with a mean of 312 and a standard deviation of 50.
What proportion of students taking the exam receive a score that
is within 64 points of the mean?
Round your answer to 4 decimal places.

6) A certain standardized test has scores which range from 0 to
500, with decimal scores possible. Scores on the exam are normally
distributed with a mean of 304 and a standard deviation of 42.
What proportion of students taking the exam receive a score that
is within 74 points of the mean?
Round your answer to 4 decimal places.

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