Task:
Discuss the below:
Q1: If a student had a z-score of 1, what would be the raw score (rating)?
If a student had a z-score of 1, what percentage of the participants would be expected to rate the product higher than he/she did?
If a student gave a rating of 75, what would be the z-score?
Q2: What is the probability that a rating is below 51.03?
What is the probability that a rating is higher than 80?
What percentage of participants would be expected to rate the product lower than 75?
What is the probability that a rating falls between 25 and 65?
What is the probability that a rating falls between 75 and 80?
Q3: If the z-score is 2, what is the rating?
If the rating is 21, what is the z-score?
What is the probability of observing a rating lower than 20 or higher than 80?
4. What if one participant gave a particularly odd (extreme) rating? How extreme would it have to be for us to suspect that it should be discounted (i.e., the participant was rating a different product or was trying to ruin our data or wasn't really paying attention to the task)?