The national average SAT score (for verbal and math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. Round the final answer to 4 decimal places and intermediate $z$-value calculations to 2 decimal places.
AIf a random sample of 220 scores was selected, find the probability that the sample mean is greater than 1047. Assume that the sample is taken from a large population and the correction factor can be ignored.
$P(\bar{X} > 1047) =$
AIf a random sample of 220 scores was selected, find the probability that the sample mean is greater than 1047. Assume that the sample is taken from a large population and the correction factor can be ignored.
$P(\bar{X} > 1047) =$