(1 point) The scores of students on the SAT college entranceexaminations at a certain high school had a normal distributionwith mean μ=557.1μ=557.1 and standarddeviation σ=25.3σ=25.3.
(a) What is the probability that a single student randomlychosen from all those taking the test scores 562 or higher?ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of25 students who took the test.
(b) What are the mean and standard deviation of the sample meanscore x¯x¯, of 25 students?The mean of the sampling distributionfor x¯x¯ is: The standard deviation of the sampling distributionfor x¯x¯ is:
(c) What z-score corresponds to the mean score x¯x¯ of562?ANSWER:
(d) What is the probability that the meanscore x¯x¯ of these students is 562 or higher?ANSWER:
(1 point) The scores of students on the SAT college entrance examinations at a certain high school had a normal distribu
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