The composite ACT scores for Idaho students who took the test in 2019 have average 22.3 with the standard deviation 2.25 and approximately normal distributed. In a random sample of 49 students who took the exam in 2019, the average composite ACT score is 23.5 with standard deviation 1.06. Suppose 49 is a large sample size, the sampling distribution of the average composite ACT scores of 49 students in Idaho is approximately:___________________(give the mean and standard deviation. For random samples of 49 students who took the exam in 2019, what is the probability that the average composite ACT score is 22 or less? For random samples of 49 students who took the exam in 2019, what is the probability that the average composite ACT score is 23 or more? Find the 85th percentile for the average of composite ACT score of sample 49 students.

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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.