Question

SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard diviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student's score will be at least 1500?

Answer #1

Solution:

Let X be the SAT score normal variable with mean 1100 and standard deviations 200.

To find

= 0.0228. From Z table

^{0.0228 is the probability that one of the recognized
student who score will be at least 1500.}

Suppose the mathematics SAT scores are normally distributed
with a mean of 500 and a standard deviation of 100. If a school
only accepts students with SAT math scores in the top 10 percent,
what are the minimum SAT scores that would be acceptable for that
school?

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 73 students will have an average score between 970
and 1010? Round your answer to 3 decimal places.

SAT scores are normally distributed with a mean of 1700 and a
variance of 21500. What fraction of students score between 1350 and
2050 (rounded to 3 decimals)?
a)0.983
b)0.619
c)0.832
d)0.945
0.013

SAT
is normally distributed with a mean of 2200 and variance of 1600
what is the probability that a random sample of 16 will yield
a mean score greater then 2185

Scores on the SAT Mathematics test are believed to be Normally
distributed. The scores of a simple random sample of five students
who recently took the exam are 550, 620, 710, 520, and 480. What is
a 95% confidence interval for µ, the population mean score on the
SAT Math test?

4) Assume that SAT Total Scores are normally distributed
with a mean of 1083 and a standard deviation of 193. Determine the
following.
4a) A student who took the SAT is randomly selected.
What is the probability that the student's score is more than 1170?
Round to four decimal places.
4b) What percent of the SAT Total Scores are less than
1050? Round to four decimal places.
4c) Out of 400 randomly selected SAT Total Scores, about
how many would...

Suppose SAT Writing scores are normally distributed with a mean
of 497 and a standard deviation of 109. A university plans to award
scholarships to students whose scores are in the top 8%. What is
the minimum score required for the scholarship? Round your answer
to the nearest whole number, if necessary.

Suppose Students’ scores on the SAT are normally distributed
with μ= 1509 and σ= 321
A) What percentage of a students score less than 1188? (An
approximate answer is fine here)
B) What percentage of a students score between 867 and 2151? (An
approximate answer is fine here)
C) Find the probability of a student scoring more than 1600

The SAT scores for students are normally distributed with a mean
of 1050 and a standard deviation of 205. What is the probability
that a sample of 30 students will have an average score between
1030 and 1060? Round your answer to 3 decimal places.
Group of answer choices
0.058
0.309
0.583
0.761
0.691

Suppose that SAT math scores are normally distributed with a
mean of 516 and a standard deviation of 115, while ACT math scores
have a normal distribution with a mean of 22 and a standard
deviation of 5. James scored 650 on the SAT math and Jacob scored
29 on the ACT math. Who did better in terms of the standardized
z-score?
Group of answer choices
James
Jacob
They did relatively the same.
Impossible to tell because of the scaling

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