Question
In: Statistics and Probability
The grade point averages for 10 randomly selected students are listed below. Construct a 95% confidence...
The grade point averages for 10 randomly selected students are listed below. Construct a 95% confidence interval for the population variance and for the standard deviation. Write an interpretive sentence for the standard deviation. Assume the data are normally distributed.
2.3 4.0 3.1 1.8 3.3 2.5 0.5 3.8 2.3 2.7
Solutions
Expert Solution
Solution:
• 95% CI for variance and standard deviation is:
orchestra answered 2 years agoRelated Solutions
The grade point averages for 11 randomly selected students are listed below. Assume the data are...
The grade point averages for 11 randomly selected students are
listed below. Assume the data are normally distributed.
2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8 2.7
Construct a 99% confidence interval for the population standard
deviation
The grade averages for 10 randomly selected junior college students are listed below. Assume the grade...
The grade averages for 10 randomly selected junior college
students are listed below. Assume the grade averages are normally
distributed. Find a 98% confidence interval for the true mean. 78
80 83 48 76 72 94 75 91 65
The grade point averages (GPA) for 12 randomly selected college students are shown on the right....
The grade point averages (GPA) for 12 randomly selected college
students are shown on the right. Complete parts (a) through (c)
below. Assume the population is normally distributed.
2.2 3.4 2.9 1.8 0.8 4.0 2.4 1.3 3.9 0.5 2.4 3.3
(a) Find the sample mean.
x = _____ (Round to two decimal places as needed.)
(b) Find the sample standard deviation.
s= ______ (Round to two decimal places as needed.)
(c) Construct a 95% confidence interval for the...
The grade point averages (GPA) of 18 randomly selected college students are used to estimate the...
The grade point averages (GPA) of 18 randomly selected college
students are used to estimate the mean GPA of the college students.
The GPAs from the sample are as follows:
2.3 3.3 2.6 1.8
0.2
3.1 4.0 0.7
3.1
2.3 2.0 3.1 3.4 1.3 2.6 2.6
3.7 2.2
(5 points) Is it justified to use of the standard normal
distribution to construct the confidence interval? Explain.
(10 points) If the population is assumed to be normally
distributed, construct a 98% confidence interval for the population
mean GPA. Show your work in...
Below are the grade point averages for 24 randomly chosen university business students during a recent...
Below are the grade point averages for 24 randomly chosen
university business students during a recent semester.
a) Is there sufficient evidence to indicate that the variances
for the four classifications of students are not the same? Assume
alpha is 0.05.
b) What is the p-value for this problem? Explain its meaning in
words.
c) Is there sufficient evidence to indicate that the means for
the four classifications of students are not the same? Use alpha =
0.05.
d) If...
The grades of 5 randomly selected students in Engineering Statistics are shown below. Construct a 95%...
The grades of 5 randomly selected students in
Engineering Statistics are shown below. Construct a 95% two-sided
confidence interval for the true mean of student
grades?
Students
1
2
3
4
5
Grades
95
85
65
75
80
Sample grade point averages for ten male students and ten female students are listed. Find the...
Sample grade point averages for ten male students and ten female
students are listed. Find the coefficient of variation for each of
the two data sets. Then compare the results. Males 2.6 3.8 3.9 3.8
2.7 2.6 3.4 3.5 3.8 1.8 Females 2.7 3.9 2.2 3.8 3.5 4.1 2.1 3.8 3.9
2.5 The coefficient of variation for males is nothing%. (Round to
one decimal place as needed.)
Sample grade point averages for ten male students and ten female students are listed. Find the...
Sample grade point averages for ten male students and ten female
students are listed. Find the coefficient of variation for each of
the two data sets. Then compare the results
Males 2.5 3.8 3.6 3.9 2.6 2.6 3.6 3.2 3.9 1.8
Females 2.8 3.5 2.1 3.7 3.5 4.1 2.1 3.9 3.9 2.3
The coefficient of variation for males is __%.
The Coefficient of variation for females Is __ %
The grade point average for 10 randomly selected college students is: (Please show all work and...
The grade point average for 10 randomly selected college
students is: (Please show all work and label if it's answer a, b,
c.)
2.9, 3.1, 3.4, 3.6, 3.1, 4.0, 2.5, 3.7, 3.0, 2.5 (Assume the
sample is taken from a normal distribution)
a) Find the sample mean. (Show all work)
b) Find the sample standard deviation.
c.) Construct a 99% C.I. for the population mean.
Construct a 95% confidence interval for mu 1minusmu 2. Two samples are randomly selected from each...
Construct a 95% confidence interval for mu 1minusmu 2. Two
samples are randomly selected from each population. The sample
statistics are given below. n 1 equals 50, n 2 equals 60, x
overbar 1 equals25, x overbar 2 equals23, sigma 1 equals1.5,
sigma 2 equals1.9
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