Question

(1 point) The scores of a college entrance examination had a normal distribution with mean μ=550.6μ=550.6 and standard deviation σ=25.6σ=25.6.

(a) What is the probability that a single student randomly chosen from all those who took the test had a score of 555 or higher?
ANSWER:

For parts (b) through (d), consider a simple random sample of 35 students who took the test.

(b) The mean of the sampling distribution of x¯x¯ is:
The standard deviation of the sampling distribution of x¯x¯ is:

(c) What z-score corresponds to the sample mean score of 555 ?
ANSWER:

(d) What is the probability that the mean score of the 35 randomly chosen students is 555 or higher? (i.e. Find P(x¯≥555)P(x¯≥555)
ANSWER:

Answer 1