The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=540 and standard deviation σ=25.3 (a) What is the probability that a single student randomly chosen from all those taking the test scores 546 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 546? ANSWER: (d) What is the probability that the mean score x¯of these students is 546 or higher?
The scores of students on the SAT college entrance examinations at a certain high school had a
(a) What is the
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 546?
ANSWER:
(d) What is the probability that the mean score x¯of these students is 546 or higher?
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