A disposable mini-toothpaste manufacturing company is investigating whether the average product weight (in grams) of the same items produced by two different production lines as listed in the table below are identical. To test if the population of product weights are different using the Mann-Whitney-Wilcoxon method, please answer the following questions.

Production Production _ _ a) Write down the appropriate hypothesis statements. [3 marks] b) Find the test statistic w. [6 rmrks] c) Calculate the mean (my) and standard deviation (aw) of the test statistics W. [4 marks] d) What is the pvalue? [4 marks] e) Using .05 ievel of significance, test the hypothesis and give your conclusion. [3 marks]