Question

In: Statistics and Probability

A group of students with no knowledge of the endocrine system were given a test on...

  1. A group of students with no knowledge of the endocrine system were given a test on insulin function before (pre-test) and after (post-test) an explanation; the data is presented in Table D.

Table D. The effect of an explanation of the endocrine system on pre- and post-test scores (%).

Student

Pre-test

Post-test

1

25

59

2

33

45

3

37

44

4

39

51

5

31

41

6

31

42

7

27

58

a. Do you use a paired or unpaired comparison? Why?

Paired, because

b. Use Excel to calculate means and standard deviations.

Pre-test mean score __ 31.85714286__ + _ 5.014265364_; post-test mean score _48.57143_ + _ 7.502381_

c. Did the scores significantly improve following the explanation of the subject? Perform a 1-tailed t-test to see if there was an improvement.

p = _ 0.0034072_

d. Is there a significant difference between these two sets of scores?

e. State your conclusion (not a statistical inference) based on your statistical output.

f. Generate a column graph (Figure 1) with standard deviation error bars to present your data.

(cut and paste Figure 1 here)

Solutions

Expert Solution

A.

Paired, because observations are paired according to the students.

B.

C.

p-value = 0.0034 < 0.05 i.e. we can reject H0 and hence we can claim that scores significantly improve following the explanation of the subject (as the difference is proved to be negative)

D.

p-value = 0.0068 < 0.05 (significance level) i.e. we can reject H0 and hence we can claim that there is a significant difference in the scores.

E.

We can claim that there is a significant difference in the scores and score improves after the explanation.

F.

Please upvote if you have liked my answer, would be of great help. Thank you.


Related Solutions

In a test given to two groups of students to marks were as follows: First group:...
In a test given to two groups of students to marks were as follows: First group: 9, 11, 13, 11, 15, 9, 12, 14 Second group: 10, 12, 10, 14, 9, 8, 10 Examine the significance of difference μ1-μ2 under the assumption on the samples are drawn from normal population with σ12=σ22.
A test was given to a group of students. The grades and gender are summarized below...
A test was given to a group of students. The grades and gender are summarized below A B C Total Male 6 17 16 39 Female 19 9 15 43 Total 25 26 31 82 If one student is chosen at random from those who took the test, Find the probability that the student got a 'C' GIVEN they are male
5. Eight students were given a placement test and after a week of classes were given...
5. Eight students were given a placement test and after a week of classes were given again a placement test at the same level. Here are their scores. Before 71 78 80 90 55 65 76 77 After 75 71 89 92 61 68 80 81 (a) Test whether the scores improved after 1 week by performing a student test. (b) Test whether the scores improved after 1 week by performing a sign test.
30 students were randomly selected from a large group of students taking a certain test. The...
30 students were randomly selected from a large group of students taking a certain test. The mean score for the students in the sample was 86. Assume that σ = 11.1. Construct a 99% confidence interval for the mean score, μ, of all students
One hundred students were given an Algebra test. A random sample of ten students was taken...
One hundred students were given an Algebra test. A random sample of ten students was taken out of class of 800 enrolled students. The time it took each student to complete the test is recorded below. 22.2, 23.7, 16.8, 18.3, 19.7, 16.9, 17.2, 18.5, 21.0, and 19.7 a. Find the mean, variance and standard deviation for this sample of ten students b. Construct a 95% confidence interval for the population mean time to complete this Algebra test. c. Test if...
Students were given a pre-test. Then after they listened to a certain type of music they...
Students were given a pre-test. Then after they listened to a certain type of music they were given a similar post test. If we define the difference as the post test score minus the pre test score and we find a 95% confidence interval for the mean of the differences to be [-1.34, 4.56]. Which of the following is true? It seems like music has affected the scores and the post test scores are significantly higher. It seems like music...
A Maths quiz consists of 10 questions were given to a group of students. Each question...
A Maths quiz consists of 10 questions were given to a group of students. Each question has 4 choices. Grade A is given to the students managed to get 70% marks and above. According to the compiled data, 45% of students managed to get grade A. (a) What is the probability that exactly 3 of a random sample of 5 the students were grade A? (b) What is the probability that not more than 7 of a random sample of...
Endocrine system
Endocrine system
A group of 20 prisoners in a particular cellblock were tested on their knowledge of the...
A group of 20 prisoners in a particular cellblock were tested on their knowledge of the rules of the institution. The marks (out of a possible score of 70) were as follows: 31, 28, 27, 19, 18, 18, 41, 0, 30, 27, 27, 36, 41, 64, 27, 39, 20, 28, 35, 30. a) Calculate the range, variance and standard deviation for these data. b) Remove the largest and smallest scores. Re-calculate the range, variance and standard deviation. c) Compare the...
An observational study of a group of students was conducted, and students were classified in two...
An observational study of a group of students was conducted, and students were classified in two ways. First, they were each classified as to whether or not they were FullTime or PartTime. Second, they were each classified as to which of two colleges they were in, COS (college of sciences) or CBA (college of business administration). From that data, the following partial joint probability table was constructed. FullTime PartTime COS 7/23 3/23 ? CBA 8/23 ? 13/23 15/23 8/23 1...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT