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A quiz for the statistics and probability course sta2023, focusing on normal curves and statistical analysis. It includes various questions requiring calculations based on the empirical rule and normal distribution, such as finding areas under the curve, probabilities, and z-scores. Students are expected to provide detailed solutions and explanations.
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Quiz #2 STA Basic Normal Curves
Provide all of your answers/explanations/work in the spaces provided. However, you may attach additional work if you want to. Write your quiz up with your name, date, and the time and days that you attend the class. Show all work for full credit. Your submitted quiz should be neat, clear and detailed. It should not be a rough draft. When in doubt, include as much relevant, correct information pertaining to your answer as possible. Remember, start early and seek out help if you “get stuck.” There are two printed pages to this quiz.
a) (4 pts.) Clearly, with detail, and using appropriate labeling notation , sketch by hand the distribution of hours that American workers spend on the computer per weekday.
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b) (3 pts.) What percent of American workers spend between two to two and a half hours on the computer?
c) (3 pts.) What is the probability that a random worker spends 3.8 hours or less on the computer?
d) (4 pts.) How long does an American worker spend on a computer if his/her time is in the lowest 25 percent?
e) (3 pts.) What proportion of hours spent on the computer are greater than 5 hours?
f) (3 pts.) What is the z-score for a time of 141 minutes?