Question

You measure test anxiety of 10 students at state college and
receive the following normally distributed scores on a scale of 1
to 20: 4, 3, 18, 12, 10, 10, 11, 7, 12, and 17.

--> What is the probability that a student will have an anxiety
score of 12 or greater? (Label and sketch diagram).

--> What is the probability that a student will have an anxiety score of 3 or greater? (Label and sketch diagram).

--> What is the probability that a student will score between 15 and 19? (Label and sketch diagram).

Answer #1

Suppose a college math scores are approximately normally
distributed with mean μ=70 and standard deviation σ=10.
a. What score should a student aim to receive to be in the 95th
percentile of the math scores?
b. You took a random sample of 25 students from this population.
What is the probability that the average score in the sample will
be equal to or greater than 75?

Scores of students in a large Statistics class test are normally
distributed with a mean of 75 points and a standard deviation of 5
points.Find the probability that a student scores more than 80
pointsIf 100 students are picked at random, how many do you expect
to score below 70 points?If top 10% of students obtain an A grade,
how much should a student obtain to get an A grade.Suppose four
students are picked at random, find the probability that...

For a certain very large group of students, test scores are
normally distributed with a mean of 70 and a standard deviation of
8. A student will receive an A if he gets at least a 92, and must
earn at least a 67 in order to pass.
a. What is the probability that a student selected at random
will get an A on the test?
b. What is the probability that a random sample of 20 students
will have...

Suppose the scores on a reading ability test are normally
distributed with a mean of 65 and a standard deviation of 8.
A) If one student is chosen at random, what is the probability
that the student's score is greater than 81 points"?
B) If 500 students took the reading ability test HOW MANY
students would expect to earn a score greater than 81 points?
c) Find the probability of randomly selecting 35 students (all
from the same class) that...

The measure of test anxiety has a mean of 16 and a standard
deviation of 4. Using a normal curve table, what percentage of
students have scores:
a. Above 15
b. Above 17
c. Above 13
d.Below 18
e. Below 14
f. Below 16.25

Problem 7: The scores of students on the ACT
(American College Testing)
college entrance examination in a recent year had the normal
distribution with mean μ = 18
and standard deviation σ = 6. 100 students are randomly selected
from all who took the test.
a. What is the probability that the mean score for the
100 students is between 17
and 19 (including 17 and 19)?
b. A student is eligible for an honor program if his/her
score is...

12. a) If scores on a certain medical test are normally
distributed with mean 50 and standard deviation 5, what score (or
lower) would place a score in the bottom 10% of scores?
b) If scores on a certain medical test are normally distributed
with mean 50 and standard deviation 5, and if 30 of these medical
test scores are selected at random and the average score is
computed, what is the probability that this average score will be
greater...

In a recent year, grade 8 Washington State public schools
students taking a mathematics assessment test had a mean score of
281 with a standard deviation of 34.4. Possible test scores could
range from 0 to 500. Assume that the scores are normally
distributed.
a) What is the lowest score that still place a student in the
top 15% of the scores?
b) Find the probability that a student had a score higher than
350.
c) Find the probability that...

In a recent year, grade 6 Michigan State public school students
taking a mathematics assessment test had a mean score of 303.1 with
a standard deviation of 36. Possible test scores could range from 0
to 1000. Assume that the scores were normally distributed.
a. Find the probability that a student had a score higher than
295.
b. Find the probability that a student had a score between 230
and 305.
c. What is the highest score that would still...

Data from a state indicate that scores on the SAT test are
normally distributed with a mean of 1089 and a standard deviation
of 199. Scores on the ACT test are normally distributed with a mean
of 19.1 and a standard deviation of 4.4. It is assumed that the two
tests measure the same aptitude, but use different scales.
If a student gets an SAT score that is the 58 percentile, find
the actual SAT score. Round answer to a...

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