Question
In: Statistics and Probability
Students enrolled in an introductory statistics course at a university were asked to take a survey...
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.
Solutions
orchestra answered 1 year agoRelated Solutions
Students enrolled in an introductory statistics course at a university were asked to take a survey...
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...
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...
Each year about 1500 students take the introductory statistics course at a large university. This year...
Each year about 1500 students take the introductory statistics
course at a large university. This year scores on the final exam
are distributed with a median of 74 points, a mean of 70 points,
and a standard deviation of 10 points. There are no students who
scored above 100 (the maximum score attainable on the final) but a
few students scored below 20 points. a.Is the distribution of
scores on this final exam symmetric, right skewed, or left skewed?
b.Would...
A student survey was completed by 446 students in introductory statistics courses at a large university...
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 university found that 20% of its students withdraw without completing the introductory statistics course. Assume...
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.
A random sample of 12 second-year university students enrolled in a business statistics course was drawn....
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....
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 random sample of 12 second-year university students enrolled in a business statistics course was drawn....
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 here. It is know
that the population standard deviation is 8. The instructor has
recommended that the students devote 36 hours to the course for the
semester. Test to determine at the 1% significance level whether
there is evidence that the...
A random sample of 12 second-year university students enrolled in a business statistics course was drawn....
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. 28 18 15
20 14 25 21 29 20 23 24 26 It is known that the population standard
deviation is 6. The instructor has recommended that students devote
2 hours per week for the duration of the 12-week semester,...
In a large introductory statistics lecture hall, the professor reports that 53% of the students enrolled...
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...
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