Suppose a population of scores x is normally distributed with μ
= 16 and σ = 5. Use the standard normal distribution to find the
probability indicated. (Round your answer to four decimal
places.)
Pr(16 ≤ x ≤ 18.6)
Suppose a population of scores x is normally
distributed with μ = 16 and σ = 5. Use the
standard normal distribution to find the probability indicated.
(Round your answer to four decimal places.)
Pr(16 ≤ x ≤ 18.3)
You may need to use the table of areas under the standard normal
curve from the appendix.
Also,
Use the table of areas under the standard normal curve to find
the probability that a z-score from the standard normal
distribution will...
The SAT scores for students are normally distributed with a mean
of 1000 and a standard deviation of 200. What is the probability
that a sample of 45 students will have an average score between 970
and 1010? Round your answer to 3 decimal places.
The SAT scores for students are normally distributed with a mean
of 1000 and a standard deviation of 200. What is the probability
that a sample of 36 students will have an average score between 970
and 1010? Round your answer to 3 decimal places.
The combined SAT scores for the students at a local high school
are normally distributed with a mean of 1521 and a standard
deviation of 298. The local college includes a minimum score of
1044 in its admission requirements. What percentage of students
from this school earn scores that fail to satisfy the admission
requirement?
The combined SAT scores for the students at a local high school
are normally distributed with a mean of 1488 and a standard
deviation of 292. The local college includes a minimum score of
2014 in its admission requirements. What percentage of students
from this school earn scores that fail to satisfy the admission
requirement? P(X < 2014) =________ % Enter your answer as a
percent accurate to 1 decimal place (do not enter the "%" sign).
Answers obtained using...
For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students . A random sample of 100 students entering
Whitmer College had an average SAT Math (SAT-M) score of 520 and a
sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is different than the national mean SAT-M score. Based...
Adult intelligence scores are distributed approximately normally
with μ = 100 and σ =
15. Therefore, means of simple random samples of n intelligence
scores are distributed
approximately normally with with μ = 100 and σ = 15/Ön. In each
part of this question, carry out any
calculations using two places after the decimal point for z scores
and four places after the decimal point for
proportions.
a) What proportion of intelligence scores is lower than 94?
b) What proportion of...
Suppose that a population is known to be normally distributed
with μ =2,400 and σ=220. If a random sample of size n=88 is
selected, calculate the probability that the sample mean will
exceed 2,500
P(x > 2,500)=
(Round to four decimal places as needed.)
The SAT scores for US high school students are normally
distributed with a mean of 1500 and a standard deviation of
100.
1. Calculate the probability that a randomly selected student
has a SAT score greater than 1650.
2. Calculate the probability that a randomly selected student
has a SAT score between 1400 and 1650, inclusive.
3. If we have random sample of 100 students, find the probability
that the mean scores between 1485 and 1510, inclusive.