Homework Help is Here – Start Your Trial Now!
Math
Statistics
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.4 kg and a standard deviation of a = 4.8 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 16 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? A. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.

Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.4 kg and a standard deviation of a = 4.8 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 16 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? A. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.4 kg and a standard deviation of o=4.8 kg. Complete parts (a) through (c) below. C 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 16 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? ⒸA. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. O B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O C. O D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.
Transcribed Image Text:Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.4 kg and a standard deviation of o=4.8 kg. Complete parts (a) through (c) below. C 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 16 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? ⒸA. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. O B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O C. O D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS