he scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=530.1 and standard deviation σ=27.4. (a) What is the probability that a single student randomly chosen from all those taking the test scores 537 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of 25 students who took the test. (b) What are the mean and standard deviation of the sample mean score x¯, of 25 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 537? ANSWER: (d) What is the probability that the mean score x¯ of these students is 537 or higher?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.