Question
In: Statistics and Probability
GPA is approximately normally distributed for all students that have been accepted to UCLA. The average...
GPA is approximately normally distributed for all students that have been accepted to UCLA. The average gpa is 4.0 with standard deviation of .2.
a) What % of admitted students had a gpa lower than 3.5.
b)What percent had a gpa above 4.1
c)What gpa represents the top 10% of all students
Solutions
orchestra answered 1 year agoRelated Solutions
5.4 GPA is approximately normally distributed for all students that have been accepted to UCLA. The...
5.4 GPA is approximately normally distributed for all students
that have been accepted to UCLA. The average gpa is 4.0 with
standard deviation of .2. 50 students were sampled and asked, "what
is your gpa?":
a) Calculate the probability the mean gpa is 3.95 or lower
b) Calculate the standard deviation for the sampling
distribution.
b) Between what 2 gpa's are considered normal for being accepted
at UCLA
c) What gpa represents the top 10% of all students
d) What...
The GPA of graduating engineering students in the fictitious Kingdom of Statistans approximately normally distributed with...
The GPA of graduating engineering students in the fictitious
Kingdom of Statistans approximately normally distributed with a
mean of 3.1 and a standard deviation of 0.2. The starting salary in
Statistan is decided by the central government to be exactly $35K +
$2.5K times the square of the GPA.
(a) What GPAs and salaries do the top 20% of graduating students
have?
(b) What are the expected value and standard dev. of the
starting salary?
(c) What’s the ranking of...
Suppose the average GPA of all chemical engineering majors is normally distributed with μ = 3.47 and...
Suppose the average GPA of all chemical engineering majors is
normally distributed with μ = 3.47 and σ =
0.24. What is the probability that the sample mean from a random
sample of the GPAs of 16 chemical engineering majors would be
greater than 3.5444?
The GPA of accounting students in a university is known to be normally distributed. A random...
The GPA of accounting students in a university is known to be
normally distributed. A random sample of 31 accounting students
results in a mean of 3.14 and a standard deviation of 0.15.
Construct the 99% confidence interval for the mean GPA of all
accounting students at this university.
The GPA of accounting students in a university is known to be normally distributed. A random...
The GPA of accounting students in a university is known to be
normally distributed. A random sample of 32 accounting students
results in a mean of 2.64 and a standard deviation of 0.15.
Construct the 95% confidence interval for the mean GPA of all
accounting students at this university.
The heights of women in the U.S. have been found to be approximately normally distributed with...
The heights of women in the U.S. have been found to be
approximately normally distributed with a mean of 63.02 inches and
the variance to be 9.00 inches.
a) What percent of women are taller than 64.43
inches?
probability =
b) What percent of women are shorter than 61.7
inches?
probability =
c) What percent have heights between 61.7 and
64.43 inches?
probability =
Note: Do NOT input probability responses as
percentages; e.g., do NOT input 0.9194 as 91.94
The heights of women in the U.S. have been found to be approximately normally distributed with...
The heights of women in the U.S. have been found to be
approximately normally distributed with a mean of 63.02 inches and
the variance to be 9.00 inches.
a) What percent of women are taller than 64.43
inches?
probability =
b) What percent of women are shorter than 61.7
inches?
probability =
c) What percent have heights between 61.7 and
64.43 inches?
probability =
Note: Do NOT input probability responses as
percentages; e.g., do NOT input 0.9194 as 91.94
Students have an average GPA of 2.78 with a standard deviation of 0.45. You have been...
Students have an average GPA of 2.78 with a standard deviation
of 0.45.
You have been tasked by the university president to select a
random sample of students, and to conduct in-depth interviews with
them about how their academics were impacted by COVID-19. We would
like the random students that you select to be representative of
the entire student body, and therefore the GPA of your sample
should be within 0.2 grade points of the population mean.
How many students...
Assume that the GPA of MBA students at Boston University is normally distributed with µ =...
Assume that the GPA of MBA students at Boston University is
normally distributed with µ = 3.3 and σ = .2. If we sample 16 of
the MBA students what is the probability that the average GPA will
exceed 3.36?
The heights of 1000 students are approximately normally distributed with a mean of 174.5centimeters and a...
The heights of 1000 students are approximately normally
distributed with a mean of 174.5centimeters and a standard
deviation of 6.9 centimeters. Suppose 200 random samples ofsize 25
are drawn from this population and the means recorded to the
nearest tenth of acentimeter. Determine
(a) the mean and standard deviation of the sampling distribution
of ̄X;
(b) the number of sample means that fall between 171 and 177 cm
.
Let X be a random variable following a continuous uniform
distribution...
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