''La Petite girafe'' is a fully online board game house that specializes in Recycled wood puzzles for children under 5 years old. As part of a sample of

30 days, there was an average of 4.9 returns of merchandise per day from customers, with a standard deviation of 3.

1) Knowing that the number of puzzle returns per day approaches a normal distribution and that the significance level is 0.01, can you conclude that the average number of returns is less than 5.5? To answer this question, complete the entire test process, specifying your assumptions, calculations, your decision and a conclusion.

2) What is the probability that a second kind error will be made if the true value of the average is 4.7 merchandise returns?