The supplier of wooden heating pellets indicated that the burning time of a pellet has a mean of 5 0 minutes. You may assume that the burning time of the pellets is normally distributed with a standard deviation of 7 . 5 minutes. Your team decided to take a sample of = 1 2 pellets to test this assertion that the mean burning time is 5 0 minutes, with a 5 % significance. Note, if the value of the mean burning time is less than 4 5 minutes then the pellets will burn too fast and give out heat too quickly posing a danger. On the hand, if the mean burning time is more than 5 5 minutes then the pellets will burn too slow and not provide sufficient heat. Calculate the probability of a type II error based on a deviation of - 5 or + 5 minutes. Also comment in four or fewer sentences on the impact of the type II error in this case and what course of action would you suggest.