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The scores of students on the SAT college entrance examinations at a certain high school had...

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Statistics

The scores of students on the SAT college entrance examinationsat a certain high school had a normal distribution with meanμ=542.7 and standard deviation σ=29.8.

(a) What is the probability that a single student randomlychosen from all those taking the test scores 546 or higher?
ANSWER:  

For parts (b) through (d), consider a simple random sample (SRS) of35 students who took the test.

(b) What are the mean and standard deviation of the sample meanscore 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 thesestudents is 546 or higher?
ANSWER:  

Answer & Explanation Solved by verified expert
4.0 Ratings (746 Votes)
Solution Given that mean 5427standard deviation 298a    See Answer
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