Question
In: Statistics and Probability
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of...
SAT verbal scores are normally distributed with a mean of 430 and a
standard deviation of 120 (based on data from the College Board
ATP). If a sample of 35 students are selected randomly, find the
probability that the sample mean is above 470.
A.) 0.244
B.) 0.9756
C.) 0.0445
D.) 0.0244
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 430
standard deviation = 
= 120
n = 35
=
= 430
=
/ 
n = 120/
35 = 20.2837
P(
> 470 ) = 1 - P(
< 470 )
= 1 - P[(
-
) /
< (470 -430) /20.2837 ]
= 1 - P(z < 1.97 )
= 1 - 0.9721 = 0.0244
PROBABILITY = 0.0244
Probability =
orchestra answered 2 years agoRelated Solutions
Assume that SAT scores are normally distributed with a mean of 1000 and a standard deviation...
Assume that SAT scores are normally distributed with
a mean of 1000 and a standard deviation of 150. Use this
information to answer the following questions. Round final answers
to the nearest whole number.
What is the lowest SAT score that can be in the top 10% of
testers?
What is the highest SAT score that can be in the bottom 5% of
testers?
Between which two SAT scores do the middle 50% of testers
lie?
SAT scores normal distributed mean 985 and standard deviation of 169. AMT scores are normally distributed...
SAT
scores normal distributed mean 985 and standard deviation of 169.
AMT scores are normally distributed with a mean of 24.6 and a
standard deviation of 3.5. It is assumed that the two tests measure
thw same aptitude bit use different scales.
a). if a student is 46-percentile in SAT, find the actual SAT
score.
b). what would be the equivalent AMT score?
c). if a student gets SAT score of 1220, find the equivalent
AMT score.
1. SAT math scores are normally distributed with a mean 525 and a standard deviation of...
1. SAT math scores are normally distributed with a mean 525 and
a standard deviation of 102. In order to qualify for a college you
are interested in attending your SAT math score must be in the
highest 9.34% of all SAT scores. What is the minimum score you need
on the SAT to qualify for the college?
2. If you get into this college you are interested in running
for the track team. To qualify for the track team...
Math SAT scores are known to be normally distributed with mean of 500 and standard deviation...
Math SAT scores are known to be normally distributed
with mean of
500 and standard deviation of 100. Answer the following questions.
(I also want to see
good notation and some of your calculations.)
a) Suppose we randomly select one person who has taken the SAT.
What is the
probability their math score is between 525 and 550?
b) Suppose we randomly select 25 people who have taken the SAT.
What is the
probability their average math score is between...
Math SAT scores (Y) are normally distributed with a mean of 1500 and a standard deviation...
Math SAT scores (Y) are normally distributed with a
mean of 1500 and a standard deviation of 140. An evening school
advertises that it can improve students' scores by roughly a third
of a standard deviation, or 30 points, if they attend a course
which runs over several weeks. (A similar claim is made for
attending a verbal SAT course.) The statistician for a consumer
protection agency suspects that the courses are not effective. She
views the situation as follows:...
Critical reading SAT reading scores is normally distributed with a mean 500 and a standard deviation...
Critical reading SAT reading scores is normally distributed with
a mean 500 and
a standard deviation of 100.
a) Find the SAT score at the 75th percentile?
b) Find the SAT score at the 25th percentile?
c) What is the interquartile region?
d) Harvard need a reading SAT score in the top 5%. Alice gets a
720 is she
admitted? Explain.
If SAT scores are normally distributed with mean 525 and standard deviation 90. Find the probability...
If SAT scores are normally distributed with mean 525 and
standard deviation 90. Find the probability that a randomly
selected SAT score is greater than 550.
3) Scores on the SAT are normally distributed with a mean of 500 and a standard...
3) Scores on the SAT are normally distributed with a
mean of 500 and a standard deviation of 100
What is the probability of obtaining a score greater than
640?
What is the probability of obtaining a score less than
390?
What is the probability of obtaining a score between 725 and
800?
What is the probability of obtaining a score either less than
375 or greater than 650?
4) If you obtained a score of 75 on an test,...
The SAT scores for students are normally distributed with a mean of 1000 and a standard...
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...
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.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- This is all one question, thank you so much in advance! You must evaluate a proposal...
- X Company is considering the purchase of a new processor that costs $200,000. Shipping and setup...
- There are a large number of tasks involved in information technology and programming, and many of...
- Using one quantitative and one qualitative health policy research method described in this chapter, design a...
- What is the Rawls' solution to the age-old question of social (economic / distributive) justice?...
- St. Johns River Shipyards' welding machine is 15 years old, fully depreciated, and has no salvage...
- The following information is available for Robstown Corporation for 20Y8: Inventories January 1 December 31 Materials...
ADVERTISEMENT