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ne p-value 0.0016 ne p-value is ? α ased on this, we should [Select an answer the null hypothesis. hus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require.

ne p-value 0.0016 ne p-value is ? α ased on this, we should [Select an answer the null hypothesis. hus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require.

MATLAB: An Introduction with Applications
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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please answer D E & F

Do political science classes require less writing than history classes? The 56 randomly selected political science classes assigned an average of 19 pages of essay writing for the course. The standard deviation for these 56 classes was 4.4 pages. The 48 randomly selected history classes assigned an average of 21.5 pages of essay writing for the course. The standard deviation for these 48 classes was 4 pages. What can be concluded at the a = 0.01 level of significance? For this study, we should use t-test for the difference between two independent population means a. The null and alternative hypotheses would be: Ho: μ1 H₁: 1 b. The test statistic t = -3.012 c. The p-value = 0.0016 d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ... μ2 µ2 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean number of required pages for the 56 political science classes that were observed is less than the mean number of required pages for the 48 history classes that were observed. The results are statistically insignificant at a = 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 significant at a = 0.01, so there is sufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require.
Transcribed Image Text:Do political science classes require less writing than history classes? The 56 randomly selected political science classes assigned an average of 19 pages of essay writing for the course. The standard deviation for these 56 classes was 4.4 pages. The 48 randomly selected history classes assigned an average of 21.5 pages of essay writing for the course. The standard deviation for these 48 classes was 4 pages. What can be concluded at the a = 0.01 level of significance? For this study, we should use t-test for the difference between two independent population means a. The null and alternative hypotheses would be: Ho: μ1 H₁: 1 b. The test statistic t = -3.012 c. The p-value = 0.0016 d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ... μ2 µ2 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean number of required pages for the 56 political science classes that were observed is less than the mean number of required pages for the 48 history classes that were observed. The results are statistically insignificant at a = 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 significant at a = 0.01, so there is sufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require.
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