Do political science classes require more writing than history classes? The 50 randomly selected political science classes assigned an average of 14.7 pages of essay writing for the course. The standard deviation for these 50 classes was 5.3 pages. The 43 randomly selected history classes assigned an average of 13.2 pages of essay writing for the course. The standard deviation for these 43 classes was 5.9 pages. What can be concluded at the αα = 0.01 level of significance?The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ... Please select a answer from the followingThe results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is more than the population mean number of pages of writing that history classes require.The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean number of required pages for the 50 political science classes that were observed is more than the mean number of required pages for the 43 history classes that were observed.The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of pages of writing that political science classes require is more than the population mean number of pages of writing that history classes require.The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population mean number of pages of writing that political science classes require is equal to the population mean number of pages of writing that history classes require.

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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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Do political science classes require more writing than history classes? The 50 randomly selected political science classes assigned an average of 14.7 pages of essay writing for the course. The standard deviation for these 50 classes was 5.3 pages. The 43 randomly selected history classes assigned an average of 13.2 pages of essay writing for the course. The standard deviation for these 43 classes was 5.9 pages. What can be concluded at the αα = 0.01 level of significance?

The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ... Please select a answer from the following
- The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is more than the population mean number of pages of writing that history classes require.
- The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean number of required pages for the 50 political science classes that were observed is more than the mean number of required pages for the 43 history classes that were observed.
- The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of pages of writing that political science classes require is more than the population mean number of pages of writing that history classes require.
- The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population mean number of pages of writing that political science classes require is equal to the population mean number of pages of writing that history classes require.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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