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Normal probability

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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)?

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Solution Preview

Please see the attachments

Using your data file from assignment #1 (the Cheerio-Paste exercise)
(Note: Please PROOFREAD your file.

1. Convert the likelihood ratings to Z-Scores.
The Z score is given by

ID Rating Sex Student ...

Solution Summary

The solution provides step by step method for the calculation of probability based on Z score . Formula for the calculation and Interpretations of the results are also included.

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