Question

Scores on a certain test are normally distributed with a mean of 77.5 and a standard deviation 9.3.

a) What is the probability that an individual student will score more than 90?

b) What proportion of the population will have a score between of 70 and 85?

c) Find the score that is the 80th percentile of all tests.

Answer #1

The scores on a certain test are normally distributed with a
mean score of 70 and a standard deviation of 3. What is the
probability that a sample of 90 students will have a mean score of
at least 70.3162?

Scores on an English test are normally distributed with a mean
of 30.6 and a standard deviation of 6.
a) What percentage of students score below 33?
b) Find the score that is at the 80th percentile.

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...

Suppose the scores on a statistic exam are normally distributed
with a mean of 77 and a variance of 25.
A. What is the 25th percentile of the scores?
B. What is the percentile of someone who got a score of 62?
C. What proportion of the scores are between 80 and 90?
D. Suppose you select 35 tests at random, what is the proportion
of scores above 85?

A.) A certain intelligence test has scores that are normally
distributed with a mean of 100 and a standard deviation of 10. An
individual takes the test and converts his score to a Z-score which
he calculates to be 1.5. This corresponds to an actual test score
of?
B.) Boiling point measurements for a liquid under fluctuating
pressure conditions is normally distributed with
mean 98 degrees and standard deviation 0.5. The probability that
a boiling point measurement exceeds 99 degrees...

IQ scores are normally distributed
with mean of 100 and a standard deviation of 15.
If MENSA only accepts people with an IQ score at the
99th percentile or higher, what is the lowest possible
IQ score you can have and still be admitted to the
organization?
Mental disability has traditionally been diagnosed for anyone
with an IQ of 70 or lower. By this standard, what proportion of the
population would meet criteria to be diagnosed with a mental
disability?...

Suppose scores on an
IQ test are normally distributed. If the test has a mean of 100 and
a standard deviation of 10.
1. What is the
probability that a person who is randomly selected will score
between 83 and 102?
2. What is the
probability that a person who is randomly selected will score more
than 119?
3. What IQ score
corresponds to the 83rd percentile for all people?

Assuming a population is normally distributed with
a mean score of 100 and a standard deviation of 10.
A) What is the probability of selecting an item from the
population with a score of more than 110?
B) What proportion of the population is expected to have scores
above 100?
C) What is the probability of a score between 95 and 110?
D) What is the probability of a score less than 95?
E) What is the probability of...

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?

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...

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