30% of the fifth grade students in a large school district read below grade level. The distribution of sample proportions of samples of 100 students from this population is normal with a mean of 0.30 and a standard deviation of 0.045. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion that reads below grade level in the sample is 0.36. What is the probability that a second sample would be selected with a proportion less than 0.36?

Question

30% of the fifth grade students in a large school district read below grade level. The distribution of sample proportions of samples of 100 students from this population is normal with a mean of 0.30 and a standard deviation of 0.045. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion that reads below grade level in the sample is 0.36. What is the probability that a second sample would be selected with a proportion less than 0.36?
  A. 0.8932 	
  B. 0.8920 	
  C. 0.9032 	
  D. 0.9048

answer D

Damon · Answer

If you do the second time completely new after putting the first bunch back in and mixing them up, then the two experiments are independent.
Now what is probability of <.36 with mean of .3 and sd of .045?
David lane:
http://davidmlane.com/hyperstat/z_table.html
.9088