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For the data of Exercise 6 Exercise 6 Suppose we have the sample data 1.48, 4.10, 2.02, 56.59,…

For the data of Exercise 6

Exercise 6

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.