iQ8 In a population, the mean is known to be 1.27 and the standard deviation is
ID: 3436027 • Letter: I
Question
iQ8
In a population, the mean is known to be 1.27 and the standard deviation is known to be 0.351.
Suppose a random sample of size 169 is taken from this population. What can be said about the distribution of the sample mean?
Select one:
A) It is approximately normal, with mean 1.27 and standard deviation 0.351.
B) It is approximately normal, with mean 1.27 and standard deviation 0.002
C) It is approximately normal with mean 1.27, but the standard deviation is not known.
D) It is approximately normal, with mean 1.27 and standard deviation 0.097.
E) It is approximately normal, with mean 1.27 and standard deviation 0.027.
F) There is not enough information to say anything about this distribution.
G) It is approximately normal, but with unknown mean and unknown standard deviation.
Explanation / Answer
In a population, the mean is known to be 1.27 and the standard deviation is known to be 0.351.
Suppose a random sample of size 169 is taken from this population. What can be said about the distribution of the sample mean?
Sd of sample mean = 0.351/sqrt( 169) =0.027
Select one:
A) It is approximately normal, with mean 1.27 and standard deviation 0.351.
B) It is approximately normal, with mean 1.27 and standard deviation 0.002
C) It is approximately normal with mean 1.27, but the standard deviation is not known.
D) It is approximately normal, with mean 1.27 and standard deviation 0.097.
E) It is approximately normal, with mean 1.27 and standard deviation 0.027.
F) There is not enough information to say anything about this distribution.
G) It is approximately normal, but with unknown mean and unknown standard deviation.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.