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# Normal probability

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?

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?

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)?

#### Solution Preview

Using your data file from assignment #1 (the Cheerio-Paste exercise)