The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=553.2μ=553.2 and standard deviation σ=25.3σ=25.3. (a) What is the probability that a single student randomly chosen from all those taking the test scores 559 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¯x¯, of 35 students? The mean of the sampling distribution for x¯x¯ is:  The standard deviation of the sampling distribution for x¯x¯ is:  (c) What z-score corresponds to the mean score x¯x¯ of 559? ANSWER:  (d) What is the probability that the mean score x¯x¯ of these students is 559 or higher? ANSWER:

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The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=553.2μ=553.2 and standard deviation σ=25.3σ=25.3.

(a) What is the probability that a single student randomly chosen from all those taking the test scores 559 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¯x¯, of 35 students?
The mean of the sampling distribution for x¯x¯ is: 
The standard deviation of the sampling distribution for x¯x¯ is: 

(c) What z-score corresponds to the mean score x¯x¯ of 559?
ANSWER: 

(d) What is the probability that the mean score x¯x¯ of these students is 559 or higher?
ANSWER: 

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