Topic: Data Sampling Statistics


Students on the course come from a variety of backgrounds. The course’s cohort is typically made up of students who have enrolled straight from school and adult learners who are returning to study. All students are interviewed before admission and not all students have formal English Language and Maths qualifications. During induction week all students sit three English Language and Maths assessments. All three tests are equally weighted and the results of the tests are used to guide students towards appropriate learning support. The pass mark for each test is 40.

Students who do not achieve an average of 40 across all three tests are still able to join the course but must attend a compulsory weekly English and Maths support session.

Students who achieve an average of between 40 and 69 are encouraged to attend a weekly English and Maths support session but attendance is not compulsory.

Students who achieve an average of 70 or over are not required to attend a weekly English and Maths support session.

The first two tests have produced consistent results for all students. These results are shown in Table A. Following the first two tests you are asked to give projected numbers for the English and Maths support sessions.

Task 1
Using the data from Table A calculate the average score for each student and then calculate the overall average of all the scores and the standard deviation.

Task 2
Convert all the individual student’s average scores to a standard or z score.

Task 3
Calculate the standard or z score for the pass mark of 40 and the merit mark of 70.

Task 4
Using your standardised or z scores calculate the probability of a student achieving the pass mark of 40 and the probability of a student achieving a merit grade by scoring over 70.

Task 5
Now consider the data from Table B which shows the results from the third test. Clearly, these results are not as good as those for Tests 1 and 2. You are anxious to find out why this was the case. What other data would you require to make an informed decision? Word count for task 5 is 300 words.

Task 6

You decide to compare the results for Test 3 with the average results from Tests 1 and 2. Calculate the standardised or Z scores for Test 3 and use these to decide which students should be allowed to pass (if it turns out that the test itself was flawed.) Briefly explain what criteria you applied to reach this decision and why you think that this was appropriate. Word count for task 6 is 250 words.

Type of service: Academic paper service
Type of assignment: Report
Subject: Statistics
Pages/words: 2/550
Academic level: Freshman(College 1st year)
Paper format: Harvard
Line spacing: Double
Language style: US English

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