we are about to draw a random sample of n values from a distribution where  and .  The shape of the distribution is not known, but it's not normal. Which of the following statements are true?   There may be more than one correct statement; check all that are true.   Question 10 options:   a)  If we sampled a million values from this distribution, and plotted a histogram of those values, that histogram would look approximately normal.   b)  If n is a very large number, then the sample mean would have a distribution that is approximately normal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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Suppose we are about to draw a random sample of n values from a distribution where  and .  The shape of the distribution is not known, but it's not normal.

Which of the following statements are true?  

There may be more than one correct statement; check all that are true.

 

Question 10 options:

 

a) 

If we sampled a million values from this distribution, and plotted a histogram of those values, that histogram would look approximately normal.

 

b) 

If n is a very large number, then the sample mean would have a distribution that is approximately normal.

 

c) 

The distribution of the sample mean will be very skewed if n < 30.

 

d) 

The variance of the sample mean is 16.

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