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.

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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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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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