Question 3

ssume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of u = 1.2 kg and a standard deviation of o = 5.6 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) b. If 4 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O C. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. OD. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size