In: Statistics and Probability

Students enrolled in an introductory statistics course at a university were asked to take a survey that indicated whether the student’s learning style was more visual or verbal. Each student received a numerical score ranging from -11 to +11. Negative scores indicated a visual learner, and positive scores indicated a verbal learner. The closer the score was to -11 or +11, the stronger the student’s inclination toward that learning style. A score of 0 would indicate neutrality between visual or verbal learning. For the 39 students who took the survey, the mean score was -2.744, and the standard deviation was 4.988.

**A.** State the null and alternative hypotheses
for testing whether the mean score (among all students at this
university) differs from 0.

**B.** Calculate the value of the *t*-test
statistic for the hypotheses stated in question 1.

**C.** Determine the *p*-value of the test
as accurately as possible.

**D.** Summarize the conclusion that you would draw
from this test.

**E.** Comment on whether the technical conditions
of this *t*-test are satisfied.

**a)**

**Ho : µ = 0
Ha : µ ╪ 0
(Two tail test)
**

Level of Significance , α = 0.05

sample std dev , s = 4.9880

Sample Size , n = 39

Sample Mean, x̅ = -2.7440

degree of freedom= DF=n-1= 38

Standard Error , SE = s/√n = 4.9880 / √ 39 = 0.7987

b)

**t-test statistic= (x̅ - µ )/SE = (
-2.744 - 0 ) /
0.7987 = -3.436**

**..........**

c)

p-Value = 0.0014 [Excel formula
=t.dist(t-stat,df) ]

d)

Decision: p-value<α, Reject null hypothesis

**the mean score (among all students at this university)
differs from 0.**

**/......................**

**THANKS**

**revert back for doubt**

**please upvote**

Students enrolled in an introductory statistics course at a
university were asked to take a survey that indicated whether the
student’s learning style was more visual or verbal. Each student
received a numerical score ranging from -11 to +11. Negative scores
indicated a visual learner, and positive scores indicated a verbal
learner. The closer the score was to -11 or +11, the stronger the
student’s inclination toward that learning style. A score of 0
would indicate neutrality between visual or...

Students enrolled in an introductory statistics course at a
university were asked to take a survey that indicated whether the
student’s learning style was more visual or verbal. Each student
received a numerical score ranging from -11 to +11. Negative scores
indicated a visual learner, and positive scores indicated a verbal
learner. The closer the score was to -11 or +11, the stronger the
student’s inclination toward that learning style. A score of 0
would indicate neutrality between visual or...

A student survey was completed by 446 students in introductory
statistics courses at a large university in the fall of 2003.
Students were asked to pick their favorite color from black, blue,
green, orange, pink, purple, red, yellow.
(a) If colors were equally popular, what proportion of students
would choose each color? (Round your answer to three decimal
places.)
(b) We might well suspect that the color yellow will be
less popular than others. Using software to access the
survey...

A random sample of 12 second-year university students enrolled
in a business statistics course was drawn. At the course's
completion, each student was asked how many hours he or she spent
doing homework in statistics. The data are listed below.
40, 41, 29, 30, 31, 31, 34, 29, 37, 41, 37, 40
It is known that the population standard deviation is 8. The
instructor has recommended that students devote 3 hours per week
for the duration of the 12-week semester,...

A random sample of 12 second-year university students enrolled
in a business statistics course was drawn. At the course's
completion, each student was asked how many hours he or she spent
doing homework in statistics. The data are listed below.
281726262620292823271820282626292318172620282720
It is known that the population standard deviation is 9. The
instructor has recommended that students devote 2 hours per week
for the duration of the 12-week semester, for a total of 24 hours.
Test to determine whether there...

A university found that 20% of its students withdraw without
completing the introductory statistics course. Assume that 20
students registered for the course.
If required, round your answers to four decimal places.
a. Compute the probability that 2 or fewer will
withdraw.
b. Compute the probability that exactly 4 will
withdraw.
c. Compute the probability that more than 3
will withdraw.
d. Compute the expected number of
withdrawals.

In a large introductory statistics lecture hall, the professor
reports that 53% of the students enrolled have never taken a
calculus course, 28% have taken only one semester of calculus,
and the rest have taken two or more semesters of calculus. The
professor randomly assigns students to groups of three to work on a
project for the course. You are assigned to be part of a group.
What is the probability that of your other two groupmates,
a) neither has...

Consider a population that consists of the 70 students enrolled
in a statistics course at a large university. If the university
registrar were to compile the grade point averages (GPAs) of all 70
students in the course and compute their average, the result would
be a mean GPA of 2.98. Note that this average is unknown to anyone;
to collect the GPA information would violate the confidentiality of
the students’ academic records.
Suppose that the professor who teaches the course...

There are 398 students currently enrolled in a statistics course
at your school. You wish to form
a sample of 4 students to answer some survey questions. Select
the students who will belong to
the simple random sample by using the randomly generated number
table below by starting in the
fourth row and first column.
35931 89035 23653 46370 28433
62632 81258 40557 19325 43161
28330 34629 79010 22483 95383
12441 20033 11802 03263 75380
Please let me know what...

A University found
that 27% of its graduates have taken an introductory statistics
course. Assume that a group of 15 graduates have been selected.
Compute the probability that from this group, there are exactly
2 graduates that have taken an introductory statistics course.
Compute the probability that from this group, there are at most
3 graduates that have taken an introductory statistics course.
Compute the probability that from this group, there are at
least 4 graduates that have taken an...

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- 1. A simple random sample of 25 items resulted in a sample mean of 28 and...
- Select one historical contributor to the Performance Improvement movement of your choice listed below and research...
- On Dr. Smith's Business Analytics exam, Mary had a z-score of 1.76. What percentage of students...
- Problem 12-23 Comprehensive Problem [LO12-1, LO12-2, LO12-3, LO12-5, LO12-6] Lou Barlow, a divisional manager for Sage...
- What are critical regions?
- Amdahl Corporation manufactures large-scale, high performance computer systems. In a recent annual report, the balance sheet...
- Define and write a sentence? What are the important mechanisms by which atoms are bonded?

ADVERTISEMENT