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

The scores on a standardized mathematics test for 8th-grade children in New York State form a normal

Question:

The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with a mean of μ = 70 and a standard deviation of σ = 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?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...