Do political science classes require less writing compared to history classes? The 44 randomly selected political science classes assigned an average of 15.39 pages of essay writing for the course. The standard deviation for these 44 classes was 2.47 pages. The 52 randomly selected history classes assigned an average of 19.87 pages of essay writing for the course. The standard deviation for these 52 classes was 3.16 pages. What can be concluded at the a= .01 level of significance? Let average 1 be the average number of pages of writing in the Political Science class. Round all answers to 4 places where possible. Step (1) Determine the null and alta

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 2GP
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Do political science classes require less writing compared to history classes? The 44 randomly selected political
science classes assigned an average of 15.39 pages of essay writing for the course. The standard deviation for these 44
classes was 2.47 pages. The 52 randomly selected history classes assigned an average of 19.87 pages of essay writing
for the course. The standard deviation for these 52 classes was 3.16 pages. What can be concluded at the a = .01 level
of significance? Let average 1 be the average number of pages of writing in the Political Science class. Round all
answers to 4 places where possible.
Step (1) Determine the null and alternative hypotheses.
Ho: 1
Ha: ul
Step (2) Determine the test statistic and p-value.
Test Statistic: tv =
6
p-value =
Step (3) Find the critical value for the rejection region (Use
Oll
tv =
O Reject the null hypothesis.
O Fail to reject the null hypothesis.
Make a decision using the rejection region method.
087
&
7
O
= μ2
*
8
acer
O
✓μ²
19
9
)
0
➜
I
4
+
=
פ פ ם
backspace
Nov 9
page up
2:09
page e
delete
Transcribed Image Text:nowtest.php?action=skip&to=1 Do political science classes require less writing compared to history classes? The 44 randomly selected political science classes assigned an average of 15.39 pages of essay writing for the course. The standard deviation for these 44 classes was 2.47 pages. The 52 randomly selected history classes assigned an average of 19.87 pages of essay writing for the course. The standard deviation for these 52 classes was 3.16 pages. What can be concluded at the a = .01 level of significance? Let average 1 be the average number of pages of writing in the Political Science class. Round all answers to 4 places where possible. Step (1) Determine the null and alternative hypotheses. Ho: 1 Ha: ul Step (2) Determine the test statistic and p-value. Test Statistic: tv = 6 p-value = Step (3) Find the critical value for the rejection region (Use Oll tv = O Reject the null hypothesis. O Fail to reject the null hypothesis. Make a decision using the rejection region method. 087 & 7 O = μ2 * 8 acer O ✓μ² 19 9 ) 0 ➜ I 4 + = פ פ ם backspace Nov 9 page up 2:09 page e delete
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