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Name: A scale measuring confidence in the media was administered to a random
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Description: A scale measuring confidence in the media was administered to a random sample of politically-affiliated Americans, with higher scores indicating greater levels of confidence. A sample of 26 Democrats had a mean score of 8.2 on the scale with a standa

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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A scale measuring confidence in the media was administered to a random sample of politically-affiliated Americans, with higher scores indicating greater levels of confidence. A sample of 26 Democrats had a mean score of 8.2 on the scale with a standard deviation of 1.5. A sample of 24 Republicans scored an average of 7.8 with a standard deviation of 1.1.

Is there a significant difference between Democrats and Republicans regarding confidence in the media? Conduct a significance test with alpha = .05.

STEP ONE:

What is the fourth requirement for this significance test?

1. Independent random samples

2. Interval-ratio variable of confidence in the media (technically ordinal)

3. Normal sampling distribution assumed

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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