Question

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

The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=539.3 and standard deviation σ=29.9.

(a) What is the probability that a single student randomly chosen from all those taking the test scores 543 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 543? ANSWER:

(d) What is the probability that the mean score x¯ of these students is 543 or higher? ANSWER:

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