Question

Grade averages for 10 randomly selected college students are
listed below. Assume the point averages are normally distributed.
Find a 98% confidence interval for the actual mean. Round to the
nearest hundredth.

2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8

Answer #1

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 0.9 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
a- Would it be justified if the standard normal distribution is
used to construct the confidence interval? Explain.
b-If the population is assumed to be normally distributed,
construct a 98% confidence interval...

The grade point averages (GPA) for 12 randomly selected college
students are shown below. Complete parts (a) through (c)
below.
Assume the population is normally distributed.
2.3
3.3
2.7
1.8
0.9
4
2.2
1.4
3.9
0.5
2.3
3.2
(a) Find the sample mean= (Round to two decimal
places as needed.)
(b) Find sample Standard deviation= (Round to two
decimal places as needed.)
(C) construct 90% confidence interval= _ , _
(Round to two decimal places as needed.)

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.
2.3 3.4 2.8 1.8 0.9 4.0 2.5 1.1 3.8 0.5 2.2 3.2
(a) Find the sample mean. x overbarequals =
(Round to two decimal places as needed.)
(b) Find the sample standard deviation. sequals =
(Round to two decimal places as needed.)
(c) Construct a 95% confidence interval for the population
mean...

6. The grade point average for 10 randomly selected college
students is: 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

12. ANALYSIS
OF VARIANCE
The average of grade
point averages (GPAs) of college courses in a specific major is a
measure of difficulty of the major. An educator wishes to conduct a
study to find out whether the difficulty levels of different majors
are the same. For such a study, a random sample of major grade
point averages (GPA) of 8 graduating seniors at a large university
is selected for each of the four majors mathematics, English,
Education, and Biology...

The grade point average of 4 randomly selected college students
is recorded at the end of the fall and spring semesters of their
senior year, as follows:
Student
1
2
3
4
Fall
2.5
1.8
2.2
3.3
Spring
1.6
2.5
2.5
2.8
Round your answers to three decimal places.
(a). The mean difference in GPA (Spring - Fall)
is:
(b). The standard deviation of the difference in GPA (Spring -
Fall) is:
(c). Using your answers from above, construct a...

The following data are the monthly salaries y and the
grade point averages x for students who obtained a
bachelor's degree in business administration.
GPA
Monthly Salary
($)
2.6
3600
3.4
3900
3.6
4300
3.2
3800
3.5
4200
2.9
3900
The estimated regression equation for these data is =
2090.5 + 581.1x and MSE = 21,284.
Round your answer to two decimal places.
a. Develop a point estimate of the starting
salary for a student with a GPA of 3.0 (to...

The following data are the monthly salaries y and the
grade point averages x for students who obtained a
bachelor's degree in business administration.
GPA
Monthly Salary ($)
2.6
3,500
3.5
3,900
3.6
4,200
3.1
3,700
3.5
4,100
2.9
2,500
The estimated regression equation for these data is =
210 + 1,075x and MSE =247,625.
a. Develop a point estimate of the starting
salary for a student with a GPA of 3.0 (to 1 decimal).
$
b. Develop a 95% confidence...

Researchers studied the effect of a houseplant fertilizer on
radish sprout growth. They randomly selected some radish seeds to
serve as controls, while other were planted in planters to which
fertilizer sticks were added. The following table shows
data on the heights of plants (in cm) two weeks after
germination.
Control
Fertilized
3.4
2.7
1.6
1.6
2.8
1.2
1.9
3.0
4.4
2.3
2.9
3.0
1.9
0.9
2.7
1.4
3.5
2.0
2.3
2.3
3.6
1.5
2.3
1.2
2.9
1.8
2.8
3.2
1.2...

The following data are the monthly salaries y and the
grade point averages x for students who obtained a
bachelor's degree in business administration.
GPA
Monthly Salary ($)
2.7
3,600
3.5
3,800
3.7
4,200
3.2
3,700
3.4
4,200
2.7
2,400
The estimated regression equation for these data is = -277.3 +
1,227.3x and MSE =217,386.
a. Develop a point estimate of the starting
salary for a student with a GPA of 3.0 (to 1 decimal).
$
b. Develop a 95%...

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