# Question: the scores of students on the sat college entrance examinations...

###### Question details

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?

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¯ is:

The standard deviation of the sampling distribution for x¯ is:

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

ANSWER:

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

ANSWER: