Question

In: Statistics and Probability

. A teaching assistant for Statistics course as a university collected data from students in her...

. A teaching assistant for Statistics course as a university collected data from students in her class to investigate whether study time per week (average number of hours) differed between students who planned to go to graduate school and those who did not. The data were as follows:

Graduate school: 15, 7, 15, 10, 5, 5, 2, 3, 12, 16, 15, 37, 8, 14, 10, 18, 3, 25, 15, 5, 5

No graduate school: 6, 8, 15, 6, 5, 14, 10, 10, 12, 5.

State the null and alternative hypotheses using statistical notations. Use R command t.test to test whether study time differed between two groups. Include your R output and identify the test statistic and p-value. Draw the conclusion.

Solutions

Expert Solution

---------------------------------------------------------------------------------------------------------------------------------------

The conclusion based on the R-output:


Related 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...
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...
Three classes in elementary statistics are taught by three different persons : a regular faculty member, a graduate teaching assistant, and an adjunct from outside the university.
Three classes in elementary statistics are taught by three different persons : a regular faculty member, a graduate teaching assistant, and an adjunct from outside the university. At the end of the semester, each student is given a standardized test. Five students are randomly picked from each of these classes, and their scores are as shown in Table                              (a) Construct an ANOVA table and interpret your results.(b) Test at the 0.05 level whether there is a difference between the mean...
2. According to survey data collected from 500 students in a recent Statistics class, the histogram...
2. According to survey data collected from 500 students in a recent Statistics class, the histogram for the number of hours of sleep they typically got per night is close to the normal curve with an average of 6.5 hours and a SD of 1.4 hours. a) Find percentage of students who sleep between 7 and 8 hours b) A student who sleeps 7 hours per night is at the _______th percentile of the score distribution c) Find the first...
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 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 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...
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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT