Question

Answer the following to 4 decimals of accuracy.

For a group of 10 students taken at random from the test described
above with standard deviation 6 points,

the average was found to be 74. Find a 95% confidence interval
around this mean.

Answer #1

The 95% confidence interval around this mean is (69.708,78.292)

⦁ Given the following GPA for 4 students: 2, 3, 3,
4. Age of students are: 10, 11, 12, 15. There are 10,000 total
students. Average GPA: Unknown, Standard Deviation of GPA: 0.02 and
it’s Normal.
⦁ Find the mean and standard deviation for GPA. (10
points)
⦁ Calculate a 95% confidence interval for the
populations mean GPA. (5 points)
⦁ Use Correlation formula to find r between GPA and
Age. (10 points)
⦁ Find Regression Line Equation. (5 points)...

A sample of grade point averages was recently taken from a
group of individuals who recently passed the California Bar Exam.
The results were: 3.06, 3.56, 3.20, 2.87, 3.3, 3.61, 3.75, 3.1, 4,
3.65.
Find the sample mean and sample standard deviation for these
results.
Find the 95% confidence interval for the mean G.P.A. of
students who pass the California Bar Exam.
Suppose that another sample was taken of 30 people who recently
passed the California Bar Exam, and the...

A group of statistics students decided to conduct a survey at
their university to find the average (mean) amount of time students
spent studying per week. They sampled 240 students and found a mean
of 22.3 hours per week. Assuming a population standard deviation of
six hours, what is the confidence interval at the 95% level of
confidence? (Please use Student's t distribution at infinite
degrees of freedom for three decimal accuracy of the required z
value.)
a. 21.54 and...

3. Given the following GPA for 4 students: 2, 3, 3, 4. Age of
students are: 10, 11, 12, 15. There are 10,000 total students.
Average GPA: Unknown, Standard Deviation of GPA: 0.02 and it’s
Normal.
a. Find the mean and standard deviation for GPA.
b. Calculate a 95% confidence interval for the populations mean
GPA.

Students in a chemistry class convince their teacher to use the
following "group grading" scenario. Students will all take the exam
on their own; however, the grade they receive will be the mean of
their test score with 4 other randomly selected classmates. Assume
that the test scores for this particular exam are normally
distributed with a mean of 74 and a standard deviation of 12
points. You need an 80 or better on this exam. What is the
probability...

A group of 51 randomly selected students have a mean score of
29.5 with a sample standard deviation of 5.2 on a placement test.
What is the 95% confidence interval for the
mean score, μ, of all students taking the test?
Critical error=
Margin of error=
confidence interval=

From a random sample of
66
students in an introductory finance class that uses
group-learning techniques, the mean examination score was found to
be
79.84
and the sample standard deviation was
2.5
For an independent random sample of
88
students in another introductory finance class that does not
use group-learning techniques, the sample mean and standard
deviation of exam scores were
73.38
and
8.5
respectively. Estimate with
95%
confidence the difference between the two population mean
scores; do not assume...

A random sample of 121 NKU students was taken to test
the proportion of students who had attended a Reds game in
2015.
95% confidence interval results:
Variable
Count
Total
Sample Prop.
Std. Err.
L. Limit
U. Limit
Reds
65
121
0.53719008
0.045328634
0.44834759
0.62603257
1. Verify that the conditions are met to construct a 95%
confidence interval for the proportion of NKU students who attended
a Reds game in 2015.
2. Construct a 95% confidence interval:
3. Interpret the...

Suppose that the IQ’s of School A's students can be described by
a Normal model with a mean of 130 and a standard deviation of 8
points. Also suppose that the IQ’s of students from School B can be
described by a Normal model with mean of 120 and standard deviation
of 10 points. We select 1 student at random from School A. Find the
probability that this student’s IQ is at least 125 points.
Suppose that the IQ’s of...

Your class has been given a test to assess educational
experience. The mean on the test was 74 and the standard deviation
was 10. Assuming a normal distribution, use this information and
the standard normal table to answer questions 12-15. You must show
all work to receive credit. Round to 3 decimal places
throughout.
12. What percentage of students scored between 77 and 86? (6
points)
13. What percentage of students scored between 67 and 91? (6
points)
14. What...

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