The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=549.3 and standard deviation σ=26.5. (a) What is the probability that a single student randomly chosen from all those taking the test scores 554 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test. (b) What are the mean and standard deviation of the sample mean score x¯ of 35 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 554? ANSWER: (d) What is the probability that the mean score x¯ of these students is 554 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 554 or higher?
ANSWER:
For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test.
(b) What are the mean and standard deviation of the sample mean score x¯ of 35 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 554?
ANSWER:
(d) What is the probability that the mean score x¯ of these students is 554 or higher?
ANSWER:
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
