Do political science classes require more writing than history classes? The 41 randomly selected political science classes assigned an average of 17 pages of essay writing for the course. The standard deviation for these 41 classes was 4.7 pages. The 47 randomly selected history classes assigned an average of 16.4 pages of essay writing for the course. The standard deviation for these 47 classes was 4.6 pages. What can be concluded at the α = 0.01 level of significance?For this study, we should use The null and alternative hypotheses would be: H0: H1: The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? αBased on this, we should ? the null hypothesis.Thus, the final conclusion is that ...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 significant at αα = 0.01, so there is sufficient evidence to conclude that the mean number of required pages for the 41 political science classes that were observed is more than the mean number of required pages for the 47 history classes that were observed.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.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.

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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 41 randomly selected political science classes assigned an average of 17 pages of essay writing for the course. The standard deviation for these 41 classes was 4.7 pages. The 47 randomly selected history classes assigned an average of 16.4 pages of essay writing for the course. The standard deviation for these 47 classes was 4.6 pages. What can be concluded at the α = 0.01 level of significance?

For this study, we should use

The null and alternative hypotheses would be:

H0:

H1:

The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? α
Based on this, we should ? the null hypothesis.
Thus, the final conclusion is that ...
- 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 significant at αα = 0.01, so there is sufficient evidence to conclude that the mean number of required pages for the 41 political science classes that were observed is more than the mean number of required pages for the 47 history classes that were observed.
- 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.
- 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.

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