Please help me asap urgent grade 11 math
1 answer:
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Answer:
No, political science classes does not require less writing than history classes.
Step-by-step explanation:
We are given that the 55 randomly selected political science classes assigned an average of 19.6 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.
The 50 randomly selected history classes assigned an average of 20.2 pages of essay writing for the course. The standard deviation for these 50 classes was 3.3 pages.
<em>Let </em><em> = mean writing required by political science classes</em>
<em /><em> = mean writing required by history classes</em>
SO, Null Hypothesis, :
or
{means that political science classes require more or equal writing than history classes}
Alternate Hypothesis, :
or
{means that political science classes require less writing than history classes}
The test statistics that will be used here is <u>Two-sample t test statistics</u> as we don't know about the population standard deviations;
T.S. = ~
where, = sample average writing for political science course= 19.6 pages
= sample average writing for history course= 20.2 pages
= sample standard deviation for political science classes = 4.8 pages
= sample standard deviation for history classes = 3.3 pages
= sample of selected political science classes = 55
= sample of selected history classes = 50
Also, =
= 4.154
So, <u><em>the test statistics</em></u> = ~
= -0.739
<em>Now at 0.01 significance level, the t table gives critical value of -2.367 at 103 degree of freedom for left-tailed test. Since our test statistics is more than the critical value of t as -0.739 > -2.367, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>
Therefore, we conclude that political science classes require more or equal writing than history classes.
Answer:
-3 comes from combining 1 and -4
Step-by-step explanation:
The -3 under the radical is the result of combining the terms
16 -4(16) = 16(1 -4) = 16(-3) = -3(16)
16 is factored out. It is done this way because 16 is a perfect square factor, so wants to maintain that identity while you figure out the rest of the radical.