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Suppose we have the sample data 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96….

 Suppose we have the sample data 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. Consider this as a sample from a normal distribution with unknown mean and variance, and assess the hypothesis that the population median (which is the same as the mean in this case) is 3. Also carry out a sign test that the population median is 3 and compare the results. Plot a boxplot for these data. Does this support the assumption that we are sampling from a normal distribution? Which test do you think is more appropriate? Justify your answer.