Exercises Solve the following problems. Assume that the population is infinite in each case. 1. The scores of individual students on a nationaltest have a normal distribution with mean 18.6 and standard deviation of 5.9. At Federico Ramos Ruralhigh school, 76 students took the test. If the scores at the this school have the same distribution as national scores, what are the mean and standard deviation of the sample mean for 76 students? 2. A molding machine prepares a certain kind of car spare part with a target diameter mean of 40.625 mm. The machine has some variability, so the standard deviation of the diameters is 0.004mm. A sample of 6 spare parts is inspected each hour for process control purposes and records are kept of the sample mean diameter. What will be the mean and standard deviation of the numbers recorded?

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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.