Question

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1461 and the standard deviation was 318. The test scores of four students selected at random are 1900, 1180, 2160, and 1360

Find the z-scores that correspond to each value and determine whether any of the values are unusual.

Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice.

Answer #1

Suppose, random variable X denotes the exam's scores.

The sample values are as follows.

Standard normal variate Z is defined as Z=(X-1461)/318

So, corresponding z-scores are given by

**Observation-**

In general, we consider 3 standard deviation interval as this interval contains 99.73% values while 2 standard deviation interval contains 95.45% values.

We observe that, all the values are lying in the 3 standard deviation interval which is clear as z-scores are in the interval (-3,3).

So, we can conclude that **there is no unusual value in
the given sample observations**.

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
standard exam’s score are normally distributed. in recent yearthe
mean test score was 21.2 and the standard deviation was 5.4 . the
test score of four students selected at random are 15, 23, 9, 34.
find the z score that correspond to each value and determine
whether any of the values are unusual. the z score for 15 is
?

Students taking a standardized IQ test had a mean score of 100
with a standard deviation of 15. Assume that the scores are
normally distributed. Find the data values that correspond to the
cutoffs of the middle 50% of the scores.

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...

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...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 492 and a standard deviation of
100. Randomly selected men are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that
his score is at least 533.3. P(X > 533.3) = ?
Enter your answer as a number accurate to 4 decimal places....

Scores for a common standardized college aptitude test are
normally distributed with a mean of 503 and a standard deviation of
110. Randomly selected men are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that his
score is at least 553.8.
P(X > 553.8) =
Enter your answer as a number accurate to 4 decimal places. NOTE:...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 499 and a standard deviation of
97. Randomly selected men are given a Test Prepartion Course before
taking this test. Assume, for sake of argument, that the test has
no effect. If 1 of the men is randomly selected, find the
probability that his score is at least 557.2. P(X > 557.2) =
Enter your answer as a number accurate to 4 decimal places. NOTE:...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 483 and a standard deviation of
101. Randomly selected men are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that his
score is at least 550.8.
P(X > 550.8) =
Enter your answer as a number accurate to 4 decimal places. NOTE:...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 10 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 19 minutes ago

asked 21 minutes ago

asked 26 minutes ago

asked 30 minutes ago