The table below contains a certain social media​ company's penetration values​ (the percentage of a​ country's population that uses this social​ media) for 14 countries. Complete parts a through c below. 41  14. 21. 21. 11. 35. 52. 86. 15  26  30  47. 20. 20  Construct a 95​% confidence interval estimate for the population mean social media penetration.   The 95​% confidence interval estimate is from __ to ___.   What assumption do you need to make about the population distribution to construct the interval in​ (a)?   Choose the correct answer below.     A. The populations of the sampled countries are normally distributed.   B. The social media penetration follows the t distribution.   C. The populations of the sampled countries follow the t distribution.   D. The social media penetration is normally distributed.   Given the data​ presented, do you think the assumption needed in​ (a) is​ valid? Explain.   Choose the correct answer below.   A. ​No, the data indicate the population distribution is skewed to the right.   B. Yes, the data indicate the population distribution approximately follows the t distribution.   C. ​No, the data indicate the population distribution is skewed to the left.   D. Yes, the data indicate the population distribution is approximately normal.

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The table below contains a certain social media​ company's penetration values​ (the percentage of a​ country's population that uses this social​ media) for 14 countries. Complete parts a through c below.

41  14. 21. 21. 11. 35. 52. 86. 15  26  30  47. 20. 20 

Construct a 95​% confidence interval estimate for the population mean social media penetration.
 
The 95​% confidence interval estimate is from __ to ___.
 
What assumption do you need to make about the population distribution to construct the interval in​ (a)?
 
Choose the correct answer below.
 
 
A. The populations of the sampled countries are normally distributed.
 
B. The social media penetration follows the t distribution.
 
C. The populations of the sampled countries follow the t distribution.
 
D. The social media penetration is normally distributed.
 
Given the data​ presented, do you think the assumption needed in​ (a) is​ valid? Explain.
 
Choose the correct answer below.
 
A. ​No, the data indicate the population distribution is skewed to the right.
 
B. Yes, the data indicate the population distribution approximately follows the t distribution.
 
C. ​No, the data indicate the population distribution is skewed to the left.
 
D. Yes, the data indicate the population distribution is approximately normal.
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