Assume that the amounts or weght that male collece students gain dunng their res
o = 5.6 kg. Complete parts (a) through (c) below.
Jazlyn Marichal 04/26/23 1:27 PM
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man vear are normally distributed with a mean or ue 1 kg and a standard deviation of
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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 blaces as needed.
o. If g male college students a re randomly selected. find the probabiliry that their mean weight gain durng ireshman vear is between O kg and 3 kc
The probability is M
(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?
AS A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.
О в.
Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
C. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size
• D. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.