Suppose a simple random sample of size n =150 is obtained from a population whose size is N =15,000 and whose population proportion with a specified characteristic is p=0.8. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. A. Not normal because n<0.5N and np(1-p)<10. B. Approximately normal because n<0.5N and np(1-p)<10 C. Not normal because n<0.5N and np(1-p)>10 D. Approximately normal because n<0.5N and np(1-p)>10 Determine the mean of the sampling distribution of p. HA= (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. = (Round to six decimal places as needed) (b) What is the probability of obtaining x=123 or more individuals with the characteristic? That is, what is P(p>0.82)? P(p>0.82)? = (Round to four decimal places as needed) (c) What is the probability of obtaining x =111 or fewer individuals with the characteristic? That is, what is P(p<0.74)? P(p<0.74)? = (Round to four decimal places as needed.)
Suppose a simple random sample of size n =150 is obtained from a population whose size is N =15,000 and whose population proportion with a specified characteristic is p=0.8. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. A. Not normal because n<0.5N and np(1-p)<10. B. Approximately normal because n<0.5N and np(1-p)<10 C. Not normal because n<0.5N and np(1-p)>10 D. Approximately normal because n<0.5N and np(1-p)>10 Determine the mean of the sampling distribution of p. HA= (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. = (Round to six decimal places as needed) (b) What is the probability of obtaining x=123 or more individuals with the characteristic? That is, what is P(p>0.82)? P(p>0.82)? = (Round to four decimal places as needed) (c) What is the probability of obtaining x =111 or fewer individuals with the characteristic? That is, what is P(p<0.74)? P(p<0.74)? = (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose a simple random
Choose the phrase that best describes the shape of the sampling distribution below. A. Not normal because n<0.5N and np(1-p)<10.
B. Approximately normal because n<0.5N and np(1-p)<10
C. Not normal because n<0.5N and np(1-p)>10
D. Approximately normal because n<0.5N and np(1-p)>10
Determine the mean of the sampling distribution of p. HA=
(Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution of p. =
(Round to six decimal places as needed)
(b) What is the probability of obtaining
or more individuals with the characteristic? That is, what is
x=123
P(p>0.82)?
P(p>0.82)? =
(Round to four decimal places as needed)
(c) What is the probability of obtaining x =111 or fewer individuals with the characteristic? That is, what is P(p<0.74)?
P(p<0.74)? =
(Round to four decimal places as needed.)
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