A random sample is selected from a normal population with a mean of  = 30 and a standard deviation of  = 8. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 33. a) If the sample consists of n = 16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with  = 0.05 b) If the sample mean consists of n = 64 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with  = 0.50 c) Comparing your answers for parts a and b, explain how the sample size of the samples influences the outcome of a hypothesis test.

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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.