(Answered) The scores on a standardized mathematics test for 8th grade

Statistics

The scores on a standardized mathematics test for 8th grade children in New York State form a normal distribution with a mean of u=70 and a standard deviation of o=10.

a. What proportion of the students in the state have scores less than x=75?

b. If samples of n=4 are selected from the population, what proportion of the samples will have means less than M=75?

c. If samples of n=25 are selected from the population, what proportion of the samples will have means less than M=75?

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