The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=555.8 and standard deviation σ=25.5 Round z-scores and probabilities to 4 decimal places. (a) What is the probability that a single student randomly chosen from all those taking the test scores 559 or higher? For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test. (b) What are the mean and standard deviation of the sample mean score x¯ of 30 students? The mean of the sampling distribution for x¯ is: The standard deviation of the sampling distribution for x¯ is c) What z-score corresponds to the mean score x¯ of 559 What is the probability that the mean score x¯of these students is 559 or higher
The scores of students on the SAT college entrance examinations at a certain high school had a
(a) What is the probability that a single student randomly chosen from all those taking the test scores 559 or higher?
For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test.
(b) What are the mean and standard deviation of the sample mean score x¯ of 30 students?
The mean of the sampling distribution for x¯ is:
The standard deviation of the sampling distribution for x¯ is
c) What z-score corresponds to the mean score x¯ of 559
What is the probability that the mean score x¯of these students is 559 or higher
Step by step
Solved in 4 steps with 2 images
