Mathematics, 24.04.2021 19:10 lurinha8
60 students were given a history exam. Their scores were normally distributed with a mean of 75.5 and standard deviation of 11.9. The original scores are shown in the table.
A.) If a student earns a score of 88, what is the z-score for this raw score?
B.) What is the percent of the scores above and below 88? Write as a percent rounded to 1 decimal place.
C.) What percent of the exam scores are between 70 and 90?
D.) What score would a student have earned if there z-score was 1.4?
E.) What score would a student have to earn to be in the 80th percentile?
F.) Now Consider both John and Mary both took tests on the same day. John took a history test in the class above and Mary took a math test. John scored an 85 on the history test in the class above and his sister Mary took a math test and scored 81.
Now if it was known that the distribution of the math grades was also normally distributed with a mean of 76 and standard deviation of 2, who scored better in comparison to their class? It appears John’s has a higher overall raw score, but who did better with respect to their class? How do you know?
Answers: 2
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Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297
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