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In a recent year, grade 6 Michigan State public school students taking a mathematics assessment test...

In a recent year, grade 6 Michigan State public school students taking a mathematics assessment test had a mean score of 303.1 with a standard deviation of 36. Possible test scores could range from 0 to 1000. Assume that the scores were normally distributed.

a. Find the probability that a student had a score higher than 295.

b. Find the probability that a student had a score between 230 and 305.

c. What is the highest score that would still place a student in the bottom 16% of the scores?

d. If 4000 students are randomly selected, how many will have a test score that is less than 300?

e. A random sample of 40 students is drawn from this population. What is the probability that the mean test score is greater than 290?

Math   Statistics-And-Probability   
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