The mean weight of a fire ant worker is 3.11 mg with a standard deviation of .49 mg. The mean weight of a carpenter ant worker is 3.02 mg with a standard deviation of .35 mg. Let F be the weight, in mg, of a randomly selected fire ant worker. Let C be the weight, in mg, of a randomly selected carpenter ant worker. It is known that weights of all ants are normally distributed. F and C are independent.   What is the probability that randomly selected fire ant worker weighs between 2.95 and 3.07 mg.? What is the 95th percentile of the distribution of F?  What is the median of the distribution of F-C ? What is the probability that both F and C are greater than 3 mg. ? What is the probability that F is greater than C?

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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.