Experience has shown that the weight of oranges produced by an orchard in Tzaneen is normally distributed, with an average weight (μ) of 120g and a standard deviation (σ) of 20g. A sample of 115 of these oranges is randomly selected. Determine the standard error for this sample. What is the probability that the mean weight of the oranges in the sample lies between 118g and 121.5g? Interpret your answer.

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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.