The finishing time of a quiz is N(15.5,6). A sample of 36 students is considered and...
The finishing time of a quiz is N(15.5,6). A sample of 36 students is considered and sample mean is computed. What is the sampling distribution of the sample mean ?
Group of answer choices:
A. is N(15.5, 1).
B. is approximately N(15.5, 1).
C. is approximately N(15.5, 6).
D. is N(15.5, 6).
Homework Answers
From the given information,
We know that,
The general rule is that if n is more than 30, then the sampling distribution of means will be approximately normal. However, if the population is already normal, then any sample size will produce a normal sampling distribution.
Hence it is normal with mean=15.5 and standard deviation=6/square root (n)
=6/square root (36)=6/6
=1
Hence,
Option A. Is correct.
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