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1 point) The scores of...

1 point) The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=540.2 and standard deviation σ=27.8.(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?

ANSWER:

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?

ANSWER:

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