The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with meanThe
scores of students on the SAT college entrance=534The scores of students on the SAT college entrance6and standard deviationThe scores of students on the SAT college entrance=28The scores of students on the SAT college entrance2. (a) What is the probability that a single student randomly chosen from all those taking the test scores 541 or higher?
ANSWER:
For parts (b) through (d), consider a simple random sample (SRS) of 25 students who took the test.
(b) What are the mean and standard deviation of the sample mean scorexThe scores of students on the SAT college entrance, of 25 students?
The mean of the sampling distribution forxThe scores of students on the SAT college entranceis:
The standard deviation of the sampling distribution forxThe scores of students on the SAT college entranceis:
(c) What z-score corresponds to the mean scorexThe scores of students on the SAT college entranceof 541?
ANSWER:
(d) What is the probability that the mean scorexThe scores of students on the SAT college entranceof these students is 541 or higher?