Do political science classes require less writing than history classes? The 48 randomly selected political science classes assigned an average of 13.6 pages of essay writing for the course. The standard deviation for these 48 classes was 4.9 pages. The 47 randomly selected history classes assigned an average of 14.8 pages of essay writing for the course. The standard deviation for these 47 classes was 5.6 pages. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions z-test for a population proportion t-test for the difference between two dependent population means t-test for the difference between two independent population means t-test for a population mean The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer > < = ≠ Select an answer μ2 p2 H1:H1: Select an answer p1 μ1 Select an answer < ≠ > = Select an answer μ2 p2 The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.05, 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 αα = 0.05, so there is sufficient evidence to conclude that the mean number of required pages for the 48 political science classes that were observed is less than the mean number of required pages for the 47 history classes that were observed. The results are statistically significant at αα = 0.05, 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. The results are statistically insignificant at αα = 0.05, 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.

Do political science classes require less writing than history classes? The 48 randomly selected political science classes assigned an average of 13.6 pages of essay writing for the course. The standard deviation for these 48 classes was 4.9 pages. The 47 randomly selected history classes assigned an average of 14.8 pages of essay writing for the course. The standard deviation for these 47 classes was 5.6 pages. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions z-test for a population proportion t-test for the difference between two dependent population means t-test for the difference between two independent population means t-test for a population mean The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer > < = ≠ Select an answer μ2 p2 H1:H1: Select an answer p1 μ1 Select an answer < ≠ > = Select an answer μ2 p2 The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.05, 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 αα = 0.05, so there is sufficient evidence to conclude that the mean number of required pages for the 48 political science classes that were observed is less than the mean number of required pages for the 47 history classes that were observed. The results are statistically significant at αα = 0.05, 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. The results are statistically insignificant at αα = 0.05, 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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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For this study, we should use Select an answer z-test for the difference between two population proportions z-test for a population proportion t-test for the difference between two dependent population means t-test for the difference between two independent population means t-test for a population mean

The null and alternative hypotheses would be:

H0:H0: Select an answer p1 μ1 Select an answer > < = ≠ Select an answer μ2 p2

H1:H1: Select an answer p1 μ1 Select an answer < ≠ > = Select an answer μ2 p2

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? > ≤ αα
Based on this, we should Select an answer reject fail to reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically insignificant at αα = 0.05, 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 αα = 0.05, so there is sufficient evidence to conclude that the mean number of required pages for the 48 political science classes that were observed is less than the mean number of required pages for the 47 history classes that were observed.
- The results are statistically significant at αα = 0.05, 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.
- The results are statistically insignificant at αα = 0.05, 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.

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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