Question

In: Statistics and Probability

One professor was interested in evaluating the overall performance of students in online sections. He wanted...

One professor was interested in evaluating the overall performance of students in online sections. He wanted to know if students in an online section would do as well as students in a face-to-face section. So one semester he has the same class but one class was delivered in an online format and one section was delivered face-to-face and it served as a control section The grades of each section are listed below ,with 4.0=A down to 0.0=F A. Write out in words the Null and Alternative hypotheses for this situation B.Create a histogram of each class using the bins below. C.What is the correct statistical test to use satistically determine if there is a difference between the delivery methods. Perform the correct Test,highlight the result you use to interpret the test and report in words your conclusion about the hypothesis E. How do these results compare?Practically, what is happening in the classes? On-line: On-line 4.0 4.0 2.3 4.0 4.0 3.7 4.0 0.3 0.0 4.0 4.0 2.0 3.3 4.0 2.0 4.0 3.7 3.3 3.0 2.0 4.0 0.0 3.7 0.0 3.0 0.3 3.0 3.3 3.7 3.3 4.0 3.0 4.0 4.0 4.0 4.0 3.0 0.0 3.3 3.7 0.0 2.3 2.7 3.0 4.0 4.0 4.0 0.0 0.0 3.3 4.0 Lecture: 2.0 3.0 2.3 3.0 3.3 3.0 1.0 4.0 4.0 3.7 3.0 4.0 1.0 2.0 3.0 3.0 1.0 2.0 2.0 1.3 4.0 4.0 4.0 3.7 3.3 1.7 3.7 3.0 4.0 1.7 2.5 3.2 2.9 3.5 3.7 3.5 3.6 3.0 1.5 2.8 Bins: 0.0 0.3 0.7 1.0 1.3 1.7 2.0 2.3 2.7 3.0 3.3 3.7 4.0

Solutions

Expert Solution

B)

From both online and lecture data, we observe that both the data do not follow the normal distribution. Hence, the parametric test to compare the online and lecture data is not accepted. Hence, we should use the nonparametric test.

A) Null Hypothesis: The median of online is equal to the median of the lecture

Alternative Hypothesis: The median of online is not equal to the median of the lecture.

C) The correct statistical test to use statistically determine if there is a difference between the delivery methods is the Mann-Whitney Test.

The estimated p-value is 0.2152. Hence, retain the null hypothesis and conclude that the students in an online section do as well as students in a face-to-face section at the 0.05 significance level.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A psychology professor is interested in the relationship between his students’ performance on two separate quizzes...
A psychology professor is interested in the relationship between his students’ performance on two separate quizzes from his research methods course. He looks at the quiz scores for 16 different students, and notes each student's scores on the two quizzes (where each quiz was based on a 30-point scale). If you wanted to test the hypothesis to see if there was any linear relationship between these two quantitative variables, what would be the appropriate analysis? What would be the null...
Professor Bailey wanted to assess his students’ understanding of statistics. He decided to test both their...
Professor Bailey wanted to assess his students’ understanding of statistics. He decided to test both their problem- solving ability, and their conceptual understanding of basic statistics principles governing the topics they had covered so far. He gave his class 2 tests. Test 1 involved problem-solving using statistics formulas and test 2 was conceptual (i.e. it involved students interpreting statistical concepts). The mean on both tests was 70%. However, the standard deviation for the problem-solving test was 5, and the standard...
GPA Versus Seating Location. A professor wanted to know whether there was a difference in students’...
GPA Versus Seating Location. A professor wanted to know whether there was a difference in students’ grade point averages (GPA) depending on whether they sit in the front half of the classroom versus the back half of the classroom. In a previous semester, a random sample of students was selected from the front of a classroom and another random sample was selected from the back of a classroom and each student’s current GPA was recorded. The data provided in StatCrunch...
GPA Versus Seating Location. A professor wanted to know whether there was a difference in students’...
GPA Versus Seating Location. A professor wanted to know whether there was a difference in students’ grade point averages (GPA) depending on whether they sit in the front half of the classroom versus the back half of the classroom. In a previous semester, a random sample of students was selected from the front of a classroom and another random sample was selected from the back of a classroom and each student’s current GPA was recorded. The data provided in StatCrunch...
A professor has a class with four recitation sections. Each section has 16 students (rare, but...
A professor has a class with four recitation sections. Each section has 16 students (rare, but there are exactly the same number in each class...how convenient for our purposes, yes?). At first glance, the professor has no reason to assume that these exam scores from the first test would not be independent and normally distributed with equal variance. However, the question is whether or not the section choice (different TAs and different days of the week) has any relationship with...
a professor was interested in testing the difference between two types of instructional methods, online vs...
a professor was interested in testing the difference between two types of instructional methods, online vs classroom instruction. the professor used the final exam to see which method was better. what type of t test would you recommend for the statistical analysis.
A professor is interested in whether taking online quizzes over a chapter before discussing the chapter...
A professor is interested in whether taking online quizzes over a chapter before discussing the chapter in class will improve students’ test performance. The professor is interested in examining the testing effect, the finding that taking a memory test not only assesses what one knows, but also enhances later retention. The professor hypothesizes that students who take chapter quizzes will score higher on the midterm test than students who do not take chapter quizzes. 1. Design and describe an experiment...
A professor of Education is interested in the relationship between students' visits to office hours held...
A professor of Education is interested in the relationship between students' visits to office hours held by professors (online or in person) and students' final grades in the course. She has obtained voluminous data from Hardnocks University regarding these two variables. These data are cross-tabulated below. Visits during Office Hours Grade None One or Two Three or More C or worse 527 520 418 B 527 526 465 A 480 480 500 Total 1534 1526 1383 She hypothesizes that the...
A political science professor is interested in comparing students who do and do not vote in...
A political science professor is interested in comparing students who do and do not vote in federal elections. She computes the mean grade point average for a random sample of 14 students who have voted in the last federal election to be 2.51 with a standard deviation of 0.44. She computes the mean grade point average for a random sample of 15 students who did not vote in the last election to be 2.98 with a standard deviation of 0.56....
A psychology professor was interested in providing assessment options for students in her Memory and Cognition...
A psychology professor was interested in providing assessment options for students in her Memory and Cognition course. She offered students the following three options for a final assessment in the course: 1) A 50-point multiple-choice exam, 2) A five-page essay, 3) A 15 minute in-class presentation. The professor was curious if the choices would be evenly distributed or if there would be a significant difference in final selection distribution. Here are the numbers of students who selected each type of...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT