Suppose five 6 oz tubes of toothpaste are randomly selected and squeezed until no more toothpaste will come out. Then each tube is cut open and the amount remaining is weighed, resulting in the following data. 0.53, 0.65, 0.46, 0.5, 0.37. Does it appear that the true average amount left is less than 10% of the advertised contents?

A. Check the validity of any assumptions necessary for testing the appropriate hypotheses.

B. Carry out a test of the appropriate hypotheses using a significance level of 0.05. Would your conclusion change if a significance level of 0.01 had been used?

C. Describe in context type I and type II errors, and say which error might have been made in reaching a conclusion?