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Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of p 2 1.4
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of p 2 1.4 kg and a standard deviation of o: 4.6 kg. Complete parts (a) through (0) below. a. lfi male college student is randomly selected, nd 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.) 6. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30'? O A. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. 0 3. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. 0 C. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. 0 D. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size
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