Question
In: Statistics and Probability
A college's data about the incoming freshmen indicates that the mean of their high school GPAs...
A college's data about the incoming freshmen indicates that the mean of their high school GPAs was 3.4 with a standard deviation of 0.30. the distribution was roughly mound-shaped and only slightly skewed. The students are randomly assigned to freshman writing seminars in groups of 25. What might the mean GPA of one of these seminar groups be? Describe the appropriate sampling distribution model, including shape, center, and spread, with attention to assumptions and conditions. Make a sketch using the 68-95-99.7 Rule.
Solutions
orchestra answered 1 year agoRelated Solutions
Consider the following data regarding students' college GPAs and high school GPAs. The estimated regression equation...
Consider the following data regarding students' college GPAs and
high school GPAs. The estimated regression equation is
Estimated College GPA=0.67+0.6551(High School GPA).Estimated
College GPA=0.67+0.6551(High School GPA).
Compute the sum of squared errors (SSESSE) for the model. Round
your answer to four decimal places.
GPAs
College GPA
High School GPA
2.022.02
3.293.29
2.812.81
3.113.11
2.532.53
3.303.30
3.763.76
4.974.97
3.083.08
3.003.00
3.963.96
3.873.87
A national report indicates that the mean and standard deviation of the ACT scores of incoming...
A national report indicates that the mean and standard deviation
of the ACT scores of incoming freshman at American public
universities are 24.6 and 6.2, respectively. A sample of 41
incoming freshmen at a small, suburban college provide a sample
mean of 22.8 and a sample standard deviation of 7.7. The researcher
is interested in finding evidence at the .05 level that the
standard deviation in ACT scores is greater than the reported value
for all public universities.
. What...
Several years ago, a study of college freshmen found that 29.2% of incoming freshmen characterized their...
Several years ago, a study of college freshmen found that
29.2% of incoming freshmen characterized their political views as
liberal, 46.6% as moderate, and 24.2% as conservative. For this
year, a random sample of 500 incoming college freshmen yielded the
following frequency distribution for political views. Complete
parts (a) and (b) below.
Liberal 145
Moderate 235
Conservative 120
11. High School Standardized Test Past experience indicates that the time required for high school seniors...
11. High School Standardized Test Past experience indicates that
the time required for high school seniors to complete a
standardized test is a normal random variable with a mean of 35
minutes (normally distributed). If a random sample of 30 high
school seniors took an average of 33.5 minutes to complete this
test with a standard deviation of 4 minutes, test the hypothesis,
at the 0.05 level of significance, that u = 35 minutes against the
alternative that u <35...
High school graduates: Approximately 78% of freshmen entering public high schools in the United States in...
High school graduates: Approximately 78% of
freshmen entering public high schools in the United States in 2005
graduated with their class in 2009. A random sample of 128 freshmen
is chosen.
(a)Find the mean μp
.(b)Find the standard deviation σp
.
(c)Find the probability that less than 91% of freshmen in the
sample graduated.
(d)Find the probability that between 68%and 83% of freshmen in
the sample graduated.
(e)Find the probability that more than 68%of freshmen in the
sample graduated.Cumulative Normal...
High school graduates: Approximately 78% of freshmen entering public high schools in the United States in...
High school graduates: Approximately
78%
of freshmen entering public high schools in the United States
in
2005
graduated with their class in
2009
. A random sample of
128
freshmen is chosen. Use
(a)Find the mean
μp
.(b)Find the standard deviation
σp
.
(c)Find the probability that less than
91%
of freshmen in the sample graduated.
(d)Find the probability that between
68%
and
83%
of freshmen in the sample graduated.
(e)Find the probability that more than
68%
of freshmen in...
High school graduates: Approximately 74% of freshmen entering public high schools in the United States in...
High school graduates: Approximately
74%
of freshmen entering public high schools in the United States
in
2005
graduated with their class in
2009
. A random sample of
175
freshmen is chosen. Use Cumulative Normal Distribution Table as
needed. Round your answers to at least four decimal places if
necessary.
(a)Find the mean
μp
.
The mean
μp
is .
Part 2 of 6
(b)Find the standard deviation
σp
.
The standard deviation
σp
is .
Part 3 of 6...
2.In a high school, 16% are Freshmen, 14% are Sophomores, 38% are Juniors, and 32% are...
2.In a high school, 16% are Freshmen, 14% are Sophomores, 38%
are Juniors, and 32% are Seniors. Suppose 15 students are randomly
selected. Find the probability that
a) 4 are Freshmen, 5 are Sophomores, and the rest are neither
Freshmen nor Sophomores (in any order)
b) either exactly one is Senior and all the others are not
Senior (in any order) or exactly one Freshman, one Sophomore, one
Junior and all the others are Seniors ( in any order)
Note:...
At a local high school 80% of students who enter as freshmen go on to graduate....
At a local high school 80% of students who enter as freshmen go
on to graduate. 20 freshmen are randomly selected.
a.
What is the probability that at most 12 students will go on to
graduate? Round your answer to 4 decimal places.
b.
What is the probability that at at least 15 students will go on
to graduate? Round your answer to 4 decimal places.
c.
What is the probability that at least 12 and no more than 16...
it has been reported that 20.4% of incoming freshmen indicate that they will major in business...
it has been reported that 20.4% of incoming freshmen indicate
that they will major in business or a related field a random sample
of 420 incoming college freshmen were asked their preference and 84
replied that they were considering business as a major estimate the
true proportion of freshmen business majors with 94% confidence
round intermediate calculations to three decimal places round final
answer to one
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