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

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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=556.6 and standard deviation σ=27.7.

(a) What is the probability that a single student randomly chosen from all those taking the test scores 562 or higher?

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 x̅x̅, of 35 students?

The mean of the sampling distribution for x̅ is:

The standard deviation of the sampling distribution for x̅ is:

(c) What z-score corresponds to the mean score x̅ of 562?

(d) What is the probability that the mean score x̅x̅ of these students is 562 or higher?

math Statistics-And-Probability

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