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From users who are members of Transition to university :
Christian Lawson-Perfect
|
said | Ready to use | 7 years, 4 months ago |
| Elliott Fletcher | said | Needs to be tested | 7 years, 5 months ago |
Chris Graham
|
said | Has some problems | 7 years, 5 months ago |
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Christian Lawson-Perfect 7 years, 4 months ago
Gave some feedback: Ready to use
Elliott Fletcher 7 years, 5 months ago
Published this.Elliott Fletcher commented 7 years, 5 months ago
I have awarded part b) with a mark and tried to use careful wording in parts b) and c).
Elliott Fletcher 7 years, 5 months ago
Gave some feedback: Needs to be tested
Elliott Fletcher 7 years, 5 months ago
Gave some feedback: Has some problems
Chris Graham 7 years, 5 months ago
Gave some feedback: Has some problems
Chris Graham commented 7 years, 5 months ago
I do like this question, however as it stands the marking is unsatisfactory. If there are no marks for b) then it is very hard to justify the mark for c), since it depends directly on the student's interpretation. I would prefer Christian's suggestion below of careful wording and keep the mark in part b). You need the same careful wording in c) too.
Elliott Fletcher commented 7 years, 5 months ago
Thanks for your feedback Christian, i have changed part a to a "what's your opinion" question and awarded it no marks. Also i have added an extra part before this question asking the student to calculate the experimental probabilities of tossing heads for coin 1 and coin 2.
Elliott Fletcher 7 years, 5 months ago
Gave some feedback: Needs to be tested
Christian Lawson-Perfect 7 years, 5 months ago
Gave some feedback: Has some problems
Christian Lawson-Perfect 7 years, 5 months ago
Saved a checkpoint:
I just don't know if there should be any marks for part a! If it was just a "what's your opinion" question, with no marks, then part b might challenge the student's intuition if they picked coin 2.
Working out experimental probabilities for the two coins as a first step might help - P(heads) would be higher for coin 2, but the point is that the sample size is small.
Or, the wording needs to be much more careful. Something like, "for which coin is there more evidence of bias?"
Elliott Fletcher 7 years, 5 months ago
Gave some feedback: Needs to be tested
Chris Graham 7 years, 5 months ago
Gave some feedback: Has some problems
Chris Graham commented 7 years, 5 months ago
I got 5 heads and 5 tails for the "distractor", which makes part a) very straightforward. I suggest that the imbalance in proportion of heads/tails is greater for coin 2 that coin 1, as it was when you put it up on the screen in the learning lab.
I suggest the following changes to the wording:
- In the statement on the first line: "It is known that one of the coins is biased".
- Part a): "Based on the available results, ..."
In the advice:
- "..., which would be the case for an unbiased coin". It is true in any case. The point being for an unbiased coin you would expect this to approach 0.5. You should explicitly state this.
- "theoretical probability... should be..." it is a fact for an unbiased coin, no should about it.
- "is greater than 50%" would cover 70, 51, 50.00001. You probably don't want to get bogged down in compound probability calculations, but "signficantly different" would be an improvement.
- Same with the "is greater than 50%" in part b).
Elliott Fletcher 7 years, 5 months ago
Gave some feedback: Needs to be tested
Elliott Fletcher 7 years, 5 months ago
Created this.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Which coin is more likely to be biased? | Ready to use | Elliott Fletcher | 20/11/2019 14:45 | |
| Which coin is more likely to be biased? | draft | Xiaodan Leng | 11/07/2019 01:59 |
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