Question

Do students reduce study time in classes where they achieve a higher midterm score? In a...

Do students reduce study time in classes where they achieve a higher midterm score? In a Journal of Economic Education article (Winter, 2005), Gregory Krohn and Catherine O’Connor studied student effort and performance in class over a semester. In an intermediate macroeconomics course, they found that “students respond to higher midterm scores by reducing the number of hours they subsequently allocate to studying for the course”. Suppose that a random sample of n=8 students who performed well on the midterm exam was taken and weekly study times before and after the exam were compared. The resulting data are given in excel workbook Homework 4 page 1. Assume that the population of all possible paired differences is normally distributed. Can it be confirmed that students reduce their study time after earning a high midterm grade? Use α =0.05. Complete the hypothesis test in excel and write out the hypotheses being tested, the value of the test statistic, critical value, p-value and the complete conclusion including your alpha level, test statistic value and p-value.

Students 1 2 3 4 5 6 7 8
Before 15 14 17 17 19 14 13 16
After 9 9 11 10 19 10 14 10

Homework Answers

Answer #1
Before After Difference
15 9 6
14 9 5
17 11 6
17 10 7
19 19 0
14 10 4
13 14 -1
16 10 6

Sample mean of the difference using excel function AVERAGE(), x̅d =    4.1250

Sample standard deviation of the difference using excel function STDEV.S(), sd =    2.9970

Sample size, n =    8

Null and Alternative hypothesis:

Ho : µd ≤ 0 ; H1 : µd > 0

Test statistic:

t = (x̅d)/(sd/√n) = (4.125)/(2.997/√8) = 3.8930

df = n-1 = 7

Critical value :

Right tailed critical value, t-crit = ABS(T.INV(0.05, 7)) = 1.895

Reject Ho if t > 1.895

p-value :

Right tailed p-value = T.DIST.RT(3.893, 7) = 0.0030

Decision:

p-value < α, Reject the null hypothesis

Conclusion:

There is enough evidence to conclude that the students reduce their study time after earning a high midterm grade at α = 0.05.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Do students reduce study time in classes where they achieve a higher midterm score? In a...
Do students reduce study time in classes where they achieve a higher midterm score? In a Journal of Economic Education article (Winter 2005), Gregory Krohn and Catherine O’Connor studied student effort and performance in a class over a semester. In an intermediate macroeconomics course, they found that “students respond to higher midterm scores by reducing the number of hours they subsequently allocate to studying for the course.” Suppose that a random sample of n = 8 students who performed well...
1) Do students change their study habits in classes where they achieve a higher midterm score?...
1) Do students change their study habits in classes where they achieve a higher midterm score? A researcher wants to explore this question for a particular macroeconomics class. She recruits 8 students who performed well on the midterm exam and compares their before and after weekly hours studying as below: Students 1 2 3 4 5 6 7 8 Before 15 14 17 17 19 14 13 16 After 9 9 11 10 19 10 14 10 Assuming differences in...
The marks for the 10 students on the midterm exam are as follows: 15, 17, 14,...
The marks for the 10 students on the midterm exam are as follows: 15, 17, 14, 16, 12, 9, 19, 10, 13, 11 First: Create an iterative distribution table consisting of 4 categories, then distribute the data on this table. Second: Calculate the cumulative iterations of the iterative distribution schedule. Third: Calculate the relative frequencies and the cumulative relative frequencies. Fourth: If we consider that the student who received less than 12 deposits, calculate the percentage of successful students. Fifth:...
Suppose that a random sample of 7 students who performed well on the tesst was taken...
Suppose that a random sample of 7 students who performed well on the tesst was taken and weekly study times before and after the test were compared. The resulting data are given in the table shown below. Assume that the population is normally distributed. It is known that sbefore = 3.237 and safter = 2.507. Weekly Study in Hours of Students Who Perform Well on the testtt   Students 1   2   3   4   5   6   7      Before 17             8  ...
Suppose that a random sample of 7 students who performed well on the homework was taken...
Suppose that a random sample of 7 students who performed well on the homework was taken and weekly study times before and after the homework were compared. The resulting data are given in the table shown below. Assume that the population is normally distributed. It is known that sbefore = 3.237 and safter = 2.507. Weekly Study in Hours of Students Who Perform Well on the Homework   Students 1   2   3   4   5   6   7      Before 17             8  ...
There is some evidence suggesting that you are likely to improve your test score if you...
There is some evidence suggesting that you are likely to improve your test score if you rethink and change answers on a multiple-choice exam (Johnston, 1975). To examine this phenomenon, a teacher gave the same final exam to two sections of a psychology course. The students in one section were told to turn in their exams immediately after finishing, without changing any of their answers. In the other section, students were encouraged to reconsider each question and to change answers...
Five students were tested before and after taking a class to improve their study habits. They...
Five students were tested before and after taking a class to improve their study habits. They were given articles to read which contained a known number of facts in each story. After the story, each student listed as many facts as he/she could recall. The following data was recorded. Before: 10 12 14 16 12 After: 15 14 17 17 20 1.The obtained value of the appropriate statistic to evaluate Ho is ______? 2. Assume there is a real effect....
An instructor asked a random sample of eight students to record their study times at the...
An instructor asked a random sample of eight students to record their study times at the beginning of a course. She then made a table for total hours studied​ (x) over 2 weeks and test score​ (y) at the end of the 2 weeks. The table is given below. Complete parts​ (a) through​ (f). x 9 15 14 18 10 17 12 24 y 92 78 79 76 88 82 87 76 a. Find the regression equation for the data...
The following contingency table shows the distribution of grades earned by students taking a midterm exam...
The following contingency table shows the distribution of grades earned by students taking a midterm exam in an MBA​ class, categorized by the number of hours the students spent studying for the exam. Complete parts a. and b. below. TIME SPENT STUDYING A B C LESS THAN 3 HOURS 4 19 8 3-5 HOURS 18 17 5 MORE THAN 5 HOURS 16 13 4 a. Using APLHA = 0.01 perform a​ chi-square test to determine if a​ student's grade on...
A study was conducted to see if students’ writing skills continue to improve as the academic...
A study was conducted to see if students’ writing skills continue to improve as the academic year progresses. English 101 students were asked to write essays throughout the year in September, December, March and June. The scores were compared to see if there is any improvement in this one-year course. Was there a significant improvement? The appropriate test for this problem is: one-way ANOVA repeated measurements Student September December March June 1 17 23 21 24 2 25 21 21...