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Problem 3: (30pts) In a recent year, grade 8 Washington State public schools students taking a mathematics assessment test had a mean score of 281
Problem 3: (30pts)
In a recent year, grade 8 Washington State public schools students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4.
Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.
- What is the lowest score that still place a student in the top 15% of the scores?
- Fin the probability that a student had a score higher than 350.
- Find the probability that a student had a score between 250 and 315.
- If 1500 students are randomly selected, how many would be expected to have a score between 250 and 315?
- A random sample of 16 students is drawn from this population, what is the probability that the mean score is greater than 300?
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