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Below are 5 probabilities (or percentile ranks) for a given population. Using the z-table, identify the closest corresponding z-scores that represents each probability for being
- Below are 5 probabilities (or percentile ranks) for a given population. Using the z-table, identify the closest corresponding z-scores that represents each probability for being BELOW that score (i.e., these represent the probability or percent below the corresponding z-score). When searching for the proportion on the table you should round to the nearest hundredths place to identify the z-scoree.g., .3489 = .35). (5 points)
99% ___________________
95% ___________________
68% ___________________
50% ___________________
35% ___________________
- Assume you gathered information on 10 random individuals' driving record and asked them to report the number of citations they received in the past 5 years. Using the information below, convert the values of 2 and 13 citations into z-scores (z-score formula is on page 5). (2 points)
Mean = 5.1; SD = 4.25
Z-score for 2 citations = _____________ Z-score for 13 citations = _____________
- Using the z-scores you calculated above, consult the z-table and tell me the probability a randomly selected individual will have fewer than 13 citations, and the probability a randomly selected individual would have more than 2 citations (hint: think in terms of percentage or percentile rank on the area under the curve) (2 points):
- Less than 13 citations = _______%
- More than 2 citations = _______%
- Pretend you analyze agility measures for a sample of 100 mice. The measure of agility has a mean of 20 and a standard deviation of 5. Assuming agility scores are normally distributed with known population parameters, what is the probability that randomly selected mice will have scores either above or below each of the following? (Hint:You will need to transform each agility score into z-scores before consulting z-table) (5 points)
- Above 25: _______________
- Above 35: _______________
- Above 23: _______________
- Below 15: _______________
- Below 17: _______________
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